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Finding the Fourth Proportional to 11,529.18, 15,891.15 and 8,167.68

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Solution

The fourth proportional to 11,529.18, 15,891.15 and 8,167.68 is: 11,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529.18 : 15,891.15 = 8,167.68 : x
  2. Step 2: Convert to fraction form
    11,529.18/15,891.15 = 8,167.68/x
  3. Step 3: Cross multiply
    11,529.18x = 15,891.15 × 8,167.68
  4. Step 4: Simplify right side
    11,529.18x = 129,793,828.03
  5. Step 5: Solve for x
    x = 129,793,828.03/11,529.18
  6. Step 6: Final answer
    x = 11,257.85

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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.