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Finding the Fourth Proportional to 10,224.73, 15,338.01 and 3,650.97

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Solution

The fourth proportional to 10,224.73, 15,338.01 and 3,650.97 is: 5,476.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.73 : 15,338.01 = 3,650.97 : x
  2. Step 2: Convert to fraction form
    10,224.73/15,338.01 = 3,650.97/x
  3. Step 3: Cross multiply
    10,224.73x = 15,338.01 × 3,650.97
  4. Step 4: Simplify right side
    10,224.73x = 55,998,665.04
  5. Step 5: Solve for x
    x = 55,998,665.04/10,224.73
  6. Step 6: Final answer
    x = 5,476.79

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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.