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Finding the Fourth Proportional to 8,342.62, 12,517.42 and 3,660.21

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Solution

The fourth proportional to 8,342.62, 12,517.42 and 3,660.21 is: 5,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.62 : 12,517.42 = 3,660.21 : x
  2. Step 2: Convert to fraction form
    8,342.62/12,517.42 = 3,660.21/x
  3. Step 3: Cross multiply
    8,342.62x = 12,517.42 × 3,660.21
  4. Step 4: Simplify right side
    8,342.62x = 45,816,385.86
  5. Step 5: Solve for x
    x = 45,816,385.86/8,342.62
  6. Step 6: Final answer
    x = 5,491.85

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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.