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Finding the Fourth Proportional to 11,658.56, 16,086.98 and 6,553.06

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Solution

The fourth proportional to 11,658.56, 16,086.98 and 6,553.06 is: 9,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.56 : 16,086.98 = 6,553.06 : x
  2. Step 2: Convert to fraction form
    11,658.56/16,086.98 = 6,553.06/x
  3. Step 3: Cross multiply
    11,658.56x = 16,086.98 × 6,553.06
  4. Step 4: Simplify right side
    11,658.56x = 105,418,921.32
  5. Step 5: Solve for x
    x = 105,418,921.32/11,658.56
  6. Step 6: Final answer
    x = 9,042.19

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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.