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Finding the Fourth Proportional to 7,691.77, 11,538.21 and 2,761.45

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Solution

The fourth proportional to 7,691.77, 11,538.21 and 2,761.45 is: 4,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.77 : 11,538.21 = 2,761.45 : x
  2. Step 2: Convert to fraction form
    7,691.77/11,538.21 = 2,761.45/x
  3. Step 3: Cross multiply
    7,691.77x = 11,538.21 × 2,761.45
  4. Step 4: Simplify right side
    7,691.77x = 31,862,190.00
  5. Step 5: Solve for x
    x = 31,862,190.00/7,691.77
  6. Step 6: Final answer
    x = 4,142.37

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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.