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Finding the Fourth Proportional to 6,761.25, 10,134.90 and 2,814.80

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Solution

The fourth proportional to 6,761.25, 10,134.90 and 2,814.80 is: 4,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.25 : 10,134.90 = 2,814.80 : x
  2. Step 2: Convert to fraction form
    6,761.25/10,134.90 = 2,814.80/x
  3. Step 3: Cross multiply
    6,761.25x = 10,134.90 × 2,814.80
  4. Step 4: Simplify right side
    6,761.25x = 28,527,665.85
  5. Step 5: Solve for x
    x = 28,527,665.85/6,761.25
  6. Step 6: Final answer
    x = 4,219.29

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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.