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Finding the Fourth Proportional to 11,640.17, 16,082.25 and 8,119.10

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Solution

The fourth proportional to 11,640.17, 16,082.25 and 8,119.10 is: 11,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.17 : 16,082.25 = 8,119.10 : x
  2. Step 2: Convert to fraction form
    11,640.17/16,082.25 = 8,119.10/x
  3. Step 3: Cross multiply
    11,640.17x = 16,082.25 × 8,119.10
  4. Step 4: Simplify right side
    11,640.17x = 130,573,405.73
  5. Step 5: Solve for x
    x = 130,573,405.73/11,640.17
  6. Step 6: Final answer
    x = 11,217.48

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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.