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Finding the Fourth Proportional to 7,952.32, 11,922.30 and 3,947.29

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Solution

The fourth proportional to 7,952.32, 11,922.30 and 3,947.29 is: 5,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.32 : 11,922.30 = 3,947.29 : x
  2. Step 2: Convert to fraction form
    7,952.32/11,922.30 = 3,947.29/x
  3. Step 3: Cross multiply
    7,952.32x = 11,922.30 × 3,947.29
  4. Step 4: Simplify right side
    7,952.32x = 47,060,775.57
  5. Step 5: Solve for x
    x = 47,060,775.57/7,952.32
  6. Step 6: Final answer
    x = 5,917.87

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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.