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Finding the Fourth Proportional to 10,801.82, 14,906.50 and 6,086.14

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Solution

The fourth proportional to 10,801.82, 14,906.50 and 6,086.14 is: 8,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.82 : 14,906.50 = 6,086.14 : x
  2. Step 2: Convert to fraction form
    10,801.82/14,906.50 = 6,086.14/x
  3. Step 3: Cross multiply
    10,801.82x = 14,906.50 × 6,086.14
  4. Step 4: Simplify right side
    10,801.82x = 90,723,045.91
  5. Step 5: Solve for x
    x = 90,723,045.91/10,801.82
  6. Step 6: Final answer
    x = 8,398.87

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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.