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Finding the Fourth Proportional to 7,306.92, 10,957.14 and 5,116.68

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Solution

The fourth proportional to 7,306.92, 10,957.14 and 5,116.68 is: 7,672.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.92 : 10,957.14 = 5,116.68 : x
  2. Step 2: Convert to fraction form
    7,306.92/10,957.14 = 5,116.68/x
  3. Step 3: Cross multiply
    7,306.92x = 10,957.14 × 5,116.68
  4. Step 4: Simplify right side
    7,306.92x = 56,064,179.10
  5. Step 5: Solve for x
    x = 56,064,179.10/7,306.92
  6. Step 6: Final answer
    x = 7,672.75

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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.