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Finding the Fourth Proportional to 8,591.31, 11,857.17 and 5,188.47

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Solution

The fourth proportional to 8,591.31, 11,857.17 and 5,188.47 is: 7,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.31 : 11,857.17 = 5,188.47 : x
  2. Step 2: Convert to fraction form
    8,591.31/11,857.17 = 5,188.47/x
  3. Step 3: Cross multiply
    8,591.31x = 11,857.17 × 5,188.47
  4. Step 4: Simplify right side
    8,591.31x = 61,520,570.83
  5. Step 5: Solve for x
    x = 61,520,570.83/8,591.31
  6. Step 6: Final answer
    x = 7,160.79

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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.