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Finding the Fourth Proportional to 11,311.62, 15,610.13 and 6,275.90

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Solution

The fourth proportional to 11,311.62, 15,610.13 and 6,275.90 is: 8,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.62 : 15,610.13 = 6,275.90 : x
  2. Step 2: Convert to fraction form
    11,311.62/15,610.13 = 6,275.90/x
  3. Step 3: Cross multiply
    11,311.62x = 15,610.13 × 6,275.90
  4. Step 4: Simplify right side
    11,311.62x = 97,967,505.44
  5. Step 5: Solve for x
    x = 97,967,505.44/11,311.62
  6. Step 6: Final answer
    x = 8,660.78

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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.