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Finding the Fourth Proportional to 10,227.92, 14,115.04 and 5,753.08

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Solution

The fourth proportional to 10,227.92, 14,115.04 and 5,753.08 is: 7,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.92 : 14,115.04 = 5,753.08 : x
  2. Step 2: Convert to fraction form
    10,227.92/14,115.04 = 5,753.08/x
  3. Step 3: Cross multiply
    10,227.92x = 14,115.04 × 5,753.08
  4. Step 4: Simplify right side
    10,227.92x = 81,204,954.32
  5. Step 5: Solve for x
    x = 81,204,954.32/10,227.92
  6. Step 6: Final answer
    x = 7,939.54

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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.