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Finding the Fourth Proportional to 8,098.38, 12,144.15 and 2,550.24

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Solution

The fourth proportional to 8,098.38, 12,144.15 and 2,550.24 is: 3,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.38 : 12,144.15 = 2,550.24 : x
  2. Step 2: Convert to fraction form
    8,098.38/12,144.15 = 2,550.24/x
  3. Step 3: Cross multiply
    8,098.38x = 12,144.15 × 2,550.24
  4. Step 4: Simplify right side
    8,098.38x = 30,970,497.10
  5. Step 5: Solve for x
    x = 30,970,497.10/8,098.38
  6. Step 6: Final answer
    x = 3,824.28

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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.