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Finding the Fourth Proportional to 11,766.48, 16,230.78 and 8,034

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Solution

The fourth proportional to 11,766.48, 16,230.78 and 8,034 is: 11,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.48 : 16,230.78 = 8,034 : x
  2. Step 2: Convert to fraction form
    11,766.48/16,230.78 = 8,034/x
  3. Step 3: Cross multiply
    11,766.48x = 16,230.78 × 8,034
  4. Step 4: Simplify right side
    11,766.48x = 130,398,086.52
  5. Step 5: Solve for x
    x = 130,398,086.52/11,766.48
  6. Step 6: Final answer
    x = 11,082.17

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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.