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Finding the Fourth Proportional to 10,691.67, 14,753.90 and 5,911.33

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Solution

The fourth proportional to 10,691.67, 14,753.90 and 5,911.33 is: 8,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.67 : 14,753.90 = 5,911.33 : x
  2. Step 2: Convert to fraction form
    10,691.67/14,753.90 = 5,911.33/x
  3. Step 3: Cross multiply
    10,691.67x = 14,753.90 × 5,911.33
  4. Step 4: Simplify right side
    10,691.67x = 87,215,160.62
  5. Step 5: Solve for x
    x = 87,215,160.62/10,691.67
  6. Step 6: Final answer
    x = 8,157.30

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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.