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Finding the Fourth Proportional to 7,415.52, 11,082.32 and 5,947.80

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Solution

The fourth proportional to 7,415.52, 11,082.32 and 5,947.80 is: 8,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.52 : 11,082.32 = 5,947.80 : x
  2. Step 2: Convert to fraction form
    7,415.52/11,082.32 = 5,947.80/x
  3. Step 3: Cross multiply
    7,415.52x = 11,082.32 × 5,947.80
  4. Step 4: Simplify right side
    7,415.52x = 65,915,422.90
  5. Step 5: Solve for x
    x = 65,915,422.90/7,415.52
  6. Step 6: Final answer
    x = 8,888.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.