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Finding the Fourth Proportional to 10,881.54, 16,285.86 and 7,761.42

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Solution

The fourth proportional to 10,881.54, 16,285.86 and 7,761.42 is: 11,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,881.54 : 16,285.86 = 7,761.42 : x
  2. Step 2: Convert to fraction form
    10,881.54/16,285.86 = 7,761.42/x
  3. Step 3: Cross multiply
    10,881.54x = 16,285.86 × 7,761.42
  4. Step 4: Simplify right side
    10,881.54x = 126,401,399.52
  5. Step 5: Solve for x
    x = 126,401,399.52/10,881.54
  6. Step 6: Final answer
    x = 11,616.13

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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.