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Finding the Fourth Proportional to 6,761.17, 10,142.21 and 2,599.80

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Solution

The fourth proportional to 6,761.17, 10,142.21 and 2,599.80 is: 3,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.17 : 10,142.21 = 2,599.80 : x
  2. Step 2: Convert to fraction form
    6,761.17/10,142.21 = 2,599.80/x
  3. Step 3: Cross multiply
    6,761.17x = 10,142.21 × 2,599.80
  4. Step 4: Simplify right side
    6,761.17x = 26,367,686.02
  5. Step 5: Solve for x
    x = 26,367,686.02/6,761.17
  6. Step 6: Final answer
    x = 3,899.87

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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.