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Finding the Fourth Proportional to 8,257.72, 12,388.40 and 2,414.38

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Solution

The fourth proportional to 8,257.72, 12,388.40 and 2,414.38 is: 3,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.72 : 12,388.40 = 2,414.38 : x
  2. Step 2: Convert to fraction form
    8,257.72/12,388.40 = 2,414.38/x
  3. Step 3: Cross multiply
    8,257.72x = 12,388.40 × 2,414.38
  4. Step 4: Simplify right side
    8,257.72x = 29,910,305.19
  5. Step 5: Solve for x
    x = 29,910,305.19/8,257.72
  6. Step 6: Final answer
    x = 3,622.10

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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.