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Finding the Fourth Proportional to 7,811.25, 11,718.50 and 3,194.25

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Solution

The fourth proportional to 7,811.25, 11,718.50 and 3,194.25 is: 4,792.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.25 : 11,718.50 = 3,194.25 : x
  2. Step 2: Convert to fraction form
    7,811.25/11,718.50 = 3,194.25/x
  3. Step 3: Cross multiply
    7,811.25x = 11,718.50 × 3,194.25
  4. Step 4: Simplify right side
    7,811.25x = 37,431,802.65
  5. Step 5: Solve for x
    x = 37,431,802.65/7,811.25
  6. Step 6: Final answer
    x = 4,792.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.