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Finding the Fourth Proportional to 6,761.41, 10,142.12 and 2,377.85

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Solution

The fourth proportional to 6,761.41, 10,142.12 and 2,377.85 is: 3,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.41 : 10,142.12 = 2,377.85 : x
  2. Step 2: Convert to fraction form
    6,761.41/10,142.12 = 2,377.85/x
  3. Step 3: Cross multiply
    6,761.41x = 10,142.12 × 2,377.85
  4. Step 4: Simplify right side
    6,761.41x = 24,116,395.28
  5. Step 5: Solve for x
    x = 24,116,395.28/6,761.41
  6. Step 6: Final answer
    x = 3,566.77

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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.