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Finding the Fourth Proportional to 6,759.64, 10,139.46 and 2,861.31

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Solution

The fourth proportional to 6,759.64, 10,139.46 and 2,861.31 is: 4,291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.64 : 10,139.46 = 2,861.31 : x
  2. Step 2: Convert to fraction form
    6,759.64/10,139.46 = 2,861.31/x
  3. Step 3: Cross multiply
    6,759.64x = 10,139.46 × 2,861.31
  4. Step 4: Simplify right side
    6,759.64x = 29,012,138.29
  5. Step 5: Solve for x
    x = 29,012,138.29/6,759.64
  6. Step 6: Final answer
    x = 4,291.97

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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.