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Finding the Fourth Proportional to 7,744.68, 11,613.24 and 3,851.28

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Solution

The fourth proportional to 7,744.68, 11,613.24 and 3,851.28 is: 5,775.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.68 : 11,613.24 = 3,851.28 : x
  2. Step 2: Convert to fraction form
    7,744.68/11,613.24 = 3,851.28/x
  3. Step 3: Cross multiply
    7,744.68x = 11,613.24 × 3,851.28
  4. Step 4: Simplify right side
    7,744.68x = 44,725,838.95
  5. Step 5: Solve for x
    x = 44,725,838.95/7,744.68
  6. Step 6: Final answer
    x = 5,775.04

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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.