There are 7 US Post Offices in Fulton County serving a total of 9,676 residents equating to 1,382 residents per post office. It's estimated that approximately 15,444 packages are handled across the 7 county post offices annually. Fulton County is a county located in the U.S. state of Arkansas. As of the 2010 census, the population was 12,245. The county seat is Salem. Fulton County was formed on December 21, 1842, and named for William Fulton, the last governor of the Arkansas Territory. It is an alcohol prohibition or dry county."