The distance to NGC 4725 has been derived from Cepheid variables , as part of the Hubble Space Telescope Key Project on the Extragalactic Distance Scale . Thirteen F555W ( V ) and four F814W ( I ) epochs of cosmic-ray-split Wide Field and Planetary Camera 2 observations were obtained . Twenty Cepheids were discovered , with periods ranging from 12 to 49 days . Adopting a Large Magellanic Cloud distance modulus and extinction of 18.50 \pm 0.10 mag and E ( V - I ) =0.13 mag , respectively , a true reddening-corrected distance modulus ( based on an analysis employing the ALLFRAME software package ) of 30.50 \pm 0.16 ( { random } ) \pm 0.17 ( { systematic } ) mag was determined for NGC 4725 . The corresponding of distance of 12.6 \pm 1.0 ( { random } ) \pm 1.0 ( { systematic } ) Mpc is in excellent agreement with that found with an independent analysis based upon the DoPHOT photometry package . With a foreground reddening of only E ( V - I ) =0.02 , the inferred intrinsic reddening of this field in NGC 4725 , E ( V - I ) =0.19 , makes it one of the most highly-reddened , encountered by the HST Key Project , to date .