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Finding the Fourth Proportional to 11,385.29, 15,711.78 and 6,349.85

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Solution

The fourth proportional to 11,385.29, 15,711.78 and 6,349.85 is: 8,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.29 : 15,711.78 = 6,349.85 : x
  2. Step 2: Convert to fraction form
    11,385.29/15,711.78 = 6,349.85/x
  3. Step 3: Cross multiply
    11,385.29x = 15,711.78 × 6,349.85
  4. Step 4: Simplify right side
    11,385.29x = 99,767,446.23
  5. Step 5: Solve for x
    x = 99,767,446.23/11,385.29
  6. Step 6: Final answer
    x = 8,762.84

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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.