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Finding the Fourth Proportional to 10,761.78, 16,142.55 and 7,586.15

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Solution

The fourth proportional to 10,761.78, 16,142.55 and 7,586.15 is: 11,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.78 : 16,142.55 = 7,586.15 : x
  2. Step 2: Convert to fraction form
    10,761.78/16,142.55 = 7,586.15/x
  3. Step 3: Cross multiply
    10,761.78x = 16,142.55 × 7,586.15
  4. Step 4: Simplify right side
    10,761.78x = 122,459,724.97
  5. Step 5: Solve for x
    x = 122,459,724.97/10,761.78
  6. Step 6: Final answer
    x = 11,379.13

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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.