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Finding the Fourth Proportional to 11,565.15, 17,337.09 and 4,167.80

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Solution

The fourth proportional to 11,565.15, 17,337.09 and 4,167.80 is: 6,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.15 : 17,337.09 = 4,167.80 : x
  2. Step 2: Convert to fraction form
    11,565.15/17,337.09 = 4,167.80/x
  3. Step 3: Cross multiply
    11,565.15x = 17,337.09 × 4,167.80
  4. Step 4: Simplify right side
    11,565.15x = 72,257,517.66
  5. Step 5: Solve for x
    x = 72,257,517.66/11,565.15
  6. Step 6: Final answer
    x = 6,247.87

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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.