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Finding the Fourth Proportional to 7,938.33, 11,947.37 and 5,974.13

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Solution

The fourth proportional to 7,938.33, 11,947.37 and 5,974.13 is: 8,991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.33 : 11,947.37 = 5,974.13 : x
  2. Step 2: Convert to fraction form
    7,938.33/11,947.37 = 5,974.13/x
  3. Step 3: Cross multiply
    7,938.33x = 11,947.37 × 5,974.13
  4. Step 4: Simplify right side
    7,938.33x = 71,375,141.54
  5. Step 5: Solve for x
    x = 71,375,141.54/7,938.33
  6. Step 6: Final answer
    x = 8,991.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.