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Finding the Fourth Proportional to 6,761.52, 10,142.42 and 3,063.08

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Solution

The fourth proportional to 6,761.52, 10,142.42 and 3,063.08 is: 4,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.52 : 10,142.42 = 3,063.08 : x
  2. Step 2: Convert to fraction form
    6,761.52/10,142.42 = 3,063.08/x
  3. Step 3: Cross multiply
    6,761.52x = 10,142.42 × 3,063.08
  4. Step 4: Simplify right side
    6,761.52x = 31,067,043.85
  5. Step 5: Solve for x
    x = 31,067,043.85/6,761.52
  6. Step 6: Final answer
    x = 4,594.68

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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.