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Finding the Fourth Proportional to 11,882.98, 16,398.72 and 6,505.87

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Solution

The fourth proportional to 11,882.98, 16,398.72 and 6,505.87 is: 8,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.98 : 16,398.72 = 6,505.87 : x
  2. Step 2: Convert to fraction form
    11,882.98/16,398.72 = 6,505.87/x
  3. Step 3: Cross multiply
    11,882.98x = 16,398.72 × 6,505.87
  4. Step 4: Simplify right side
    11,882.98x = 106,687,940.49
  5. Step 5: Solve for x
    x = 106,687,940.49/11,882.98
  6. Step 6: Final answer
    x = 8,978.21

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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.