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Finding the Fourth Proportional to 10,081.50, 13,912.16 and 5,605.13

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Solution

The fourth proportional to 10,081.50, 13,912.16 and 5,605.13 is: 7,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.50 : 13,912.16 = 5,605.13 : x
  2. Step 2: Convert to fraction form
    10,081.50/13,912.16 = 5,605.13/x
  3. Step 3: Cross multiply
    10,081.50x = 13,912.16 × 5,605.13
  4. Step 4: Simplify right side
    10,081.50x = 77,979,472.14
  5. Step 5: Solve for x
    x = 77,979,472.14/10,081.50
  6. Step 6: Final answer
    x = 7,734.91

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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.