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Finding the Fourth Proportional to 8,318.92, 12,468 and 4,160.12

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Solution

The fourth proportional to 8,318.92, 12,468 and 4,160.12 is: 6,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318.92 : 12,468 = 4,160.12 : x
  2. Step 2: Convert to fraction form
    8,318.92/12,468 = 4,160.12/x
  3. Step 3: Cross multiply
    8,318.92x = 12,468 × 4,160.12
  4. Step 4: Simplify right side
    8,318.92x = 51,868,376.16
  5. Step 5: Solve for x
    x = 51,868,376.16/8,318.92
  6. Step 6: Final answer
    x = 6,234.99

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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.