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Finding the Fourth Proportional to 8,591.09, 11,766.86 and 8,086.73

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Solution

The fourth proportional to 8,591.09, 11,766.86 and 8,086.73 is: 11,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.09 : 11,766.86 = 8,086.73 : x
  2. Step 2: Convert to fraction form
    8,591.09/11,766.86 = 8,086.73/x
  3. Step 3: Cross multiply
    8,591.09x = 11,766.86 × 8,086.73
  4. Step 4: Simplify right side
    8,591.09x = 95,155,419.77
  5. Step 5: Solve for x
    x = 95,155,419.77/8,591.09
  6. Step 6: Final answer
    x = 11,076.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.