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Finding the Fourth Proportional to 11,591.64, 17,379.78 and 4,195.13

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Solution

The fourth proportional to 11,591.64, 17,379.78 and 4,195.13 is: 6,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.64 : 17,379.78 = 4,195.13 : x
  2. Step 2: Convert to fraction form
    11,591.64/17,379.78 = 4,195.13/x
  3. Step 3: Cross multiply
    11,591.64x = 17,379.78 × 4,195.13
  4. Step 4: Simplify right side
    11,591.64x = 72,910,349.57
  5. Step 5: Solve for x
    x = 72,910,349.57/11,591.64
  6. Step 6: Final answer
    x = 6,289.91

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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.