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Finding the Fourth Proportional to 8,411.28, 12,614.76 and 5,123.76

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Solution

The fourth proportional to 8,411.28, 12,614.76 and 5,123.76 is: 7,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.28 : 12,614.76 = 5,123.76 : x
  2. Step 2: Convert to fraction form
    8,411.28/12,614.76 = 5,123.76/x
  3. Step 3: Cross multiply
    8,411.28x = 12,614.76 × 5,123.76
  4. Step 4: Simplify right side
    8,411.28x = 64,635,002.70
  5. Step 5: Solve for x
    x = 64,635,002.70/8,411.28
  6. Step 6: Final answer
    x = 7,684.32

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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.