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Finding the Fourth Proportional to 8,414.30, 11,616.44 and 5,057.97

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Solution

The fourth proportional to 8,414.30, 11,616.44 and 5,057.97 is: 6,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.30 : 11,616.44 = 5,057.97 : x
  2. Step 2: Convert to fraction form
    8,414.30/11,616.44 = 5,057.97/x
  3. Step 3: Cross multiply
    8,414.30x = 11,616.44 × 5,057.97
  4. Step 4: Simplify right side
    8,414.30x = 58,755,579.74
  5. Step 5: Solve for x
    x = 58,755,579.74/8,414.30
  6. Step 6: Final answer
    x = 6,982.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.