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Finding the Fourth Proportional to 7,754.26, 10,729.04 and 6,761.60

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Solution

The fourth proportional to 7,754.26, 10,729.04 and 6,761.60 is: 9,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.26 : 10,729.04 = 6,761.60 : x
  2. Step 2: Convert to fraction form
    7,754.26/10,729.04 = 6,761.60/x
  3. Step 3: Cross multiply
    7,754.26x = 10,729.04 × 6,761.60
  4. Step 4: Simplify right side
    7,754.26x = 72,545,476.86
  5. Step 5: Solve for x
    x = 72,545,476.86/7,754.26
  6. Step 6: Final answer
    x = 9,355.56

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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.