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Finding the Fourth Proportional to 11,343.12, 17,016.92 and 3,947.82

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Solution

The fourth proportional to 11,343.12, 17,016.92 and 3,947.82 is: 5,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.12 : 17,016.92 = 3,947.82 : x
  2. Step 2: Convert to fraction form
    11,343.12/17,016.92 = 3,947.82/x
  3. Step 3: Cross multiply
    11,343.12x = 17,016.92 × 3,947.82
  4. Step 4: Simplify right side
    11,343.12x = 67,179,717.38
  5. Step 5: Solve for x
    x = 67,179,717.38/11,343.12
  6. Step 6: Final answer
    x = 5,922.51

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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.