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Finding the Fourth Proportional to 6,761.24, 10,141.02 and 2,865.16

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Solution

The fourth proportional to 6,761.24, 10,141.02 and 2,865.16 is: 4,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.24 : 10,141.02 = 2,865.16 : x
  2. Step 2: Convert to fraction form
    6,761.24/10,141.02 = 2,865.16/x
  3. Step 3: Cross multiply
    6,761.24x = 10,141.02 × 2,865.16
  4. Step 4: Simplify right side
    6,761.24x = 29,055,644.86
  5. Step 5: Solve for x
    x = 29,055,644.86/6,761.24
  6. Step 6: Final answer
    x = 4,297.38

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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.