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Finding the Fourth Proportional to 7,761.06, 10,713.74 and 5,872.95

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Solution

The fourth proportional to 7,761.06, 10,713.74 and 5,872.95 is: 8,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.06 : 10,713.74 = 5,872.95 : x
  2. Step 2: Convert to fraction form
    7,761.06/10,713.74 = 5,872.95/x
  3. Step 3: Cross multiply
    7,761.06x = 10,713.74 × 5,872.95
  4. Step 4: Simplify right side
    7,761.06x = 62,921,229.97
  5. Step 5: Solve for x
    x = 62,921,229.97/7,761.06
  6. Step 6: Final answer
    x = 8,107.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.