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Finding the Fourth Proportional to 11,591.38, 17,387.10 and 6,331.66

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Solution

The fourth proportional to 11,591.38, 17,387.10 and 6,331.66 is: 9,497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.38 : 17,387.10 = 6,331.66 : x
  2. Step 2: Convert to fraction form
    11,591.38/17,387.10 = 6,331.66/x
  3. Step 3: Cross multiply
    11,591.38x = 17,387.10 × 6,331.66
  4. Step 4: Simplify right side
    11,591.38x = 110,089,205.59
  5. Step 5: Solve for x
    x = 110,089,205.59/11,591.38
  6. Step 6: Final answer
    x = 9,497.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.