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Finding the Fourth Proportional to 7,691.66, 11,538.05 and 2,761.34

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Solution

The fourth proportional to 7,691.66, 11,538.05 and 2,761.34 is: 4,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.66 : 11,538.05 = 2,761.34 : x
  2. Step 2: Convert to fraction form
    7,691.66/11,538.05 = 2,761.34/x
  3. Step 3: Cross multiply
    7,691.66x = 11,538.05 × 2,761.34
  4. Step 4: Simplify right side
    7,691.66x = 31,860,478.99
  5. Step 5: Solve for x
    x = 31,860,478.99/7,691.66
  6. Step 6: Final answer
    x = 4,142.21

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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.