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Finding the Fourth Proportional to 8,940.20, 13,397.76 and 7,617

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Solution

The fourth proportional to 8,940.20, 13,397.76 and 7,617 is: 11,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940.20 : 13,397.76 = 7,617 : x
  2. Step 2: Convert to fraction form
    8,940.20/13,397.76 = 7,617/x
  3. Step 3: Cross multiply
    8,940.20x = 13,397.76 × 7,617
  4. Step 4: Simplify right side
    8,940.20x = 102,050,737.92
  5. Step 5: Solve for x
    x = 102,050,737.92/8,940.20
  6. Step 6: Final answer
    x = 11,414.82

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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.