After 10 issues, "Short Fiction" is no longer going to appear in print. "Metropolitan" (another prose-only, non-genre magazine) ceased in 1998. "Panurge" closed in 1993. "Riptide journal" and "Unthology" are still going, and so is "Granta" (though that takes poetry as well now).
Simple economics works against printed story magazines. Understandably, people are more likely to subscribe to magazines that they're likely to appear in. During its decade of existence , "Short Fiction" published only 120 stories. In contrast the latest issue of "The North" published 173 poems by 84 poets.
The increasing popularity of Flash fiction has helped prose magazines survive - more authors per issue! "Flash" is still being published. And genre magazines (SF, etc) continue to live a charmed life.