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Finding the Fourth Proportional to 11,591.62, 16,107.37 and 11,471.20

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Solution

The fourth proportional to 11,591.62, 16,107.37 and 11,471.20 is: 15,940.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.62 : 16,107.37 = 11,471.20 : x
  2. Step 2: Convert to fraction form
    11,591.62/16,107.37 = 11,471.20/x
  3. Step 3: Cross multiply
    11,591.62x = 16,107.37 × 11,471.20
  4. Step 4: Simplify right side
    11,591.62x = 184,770,862.74
  5. Step 5: Solve for x
    x = 184,770,862.74/11,591.62
  6. Step 6: Final answer
    x = 15,940.04

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.