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Finding the Fourth Proportional to 10,082.97, 15,128.70 and 5,401.80

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Solution

The fourth proportional to 10,082.97, 15,128.70 and 5,401.80 is: 8,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.97 : 15,128.70 = 5,401.80 : x
  2. Step 2: Convert to fraction form
    10,082.97/15,128.70 = 5,401.80/x
  3. Step 3: Cross multiply
    10,082.97x = 15,128.70 × 5,401.80
  4. Step 4: Simplify right side
    10,082.97x = 81,722,211.66
  5. Step 5: Solve for x
    x = 81,722,211.66/10,082.97
  6. Step 6: Final answer
    x = 8,104.97

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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.