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Finding the Fourth Proportional to 6,759.87, 10,138.19 and 2,317.02

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Solution

The fourth proportional to 6,759.87, 10,138.19 and 2,317.02 is: 3,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.87 : 10,138.19 = 2,317.02 : x
  2. Step 2: Convert to fraction form
    6,759.87/10,138.19 = 2,317.02/x
  3. Step 3: Cross multiply
    6,759.87x = 10,138.19 × 2,317.02
  4. Step 4: Simplify right side
    6,759.87x = 23,490,377.41
  5. Step 5: Solve for x
    x = 23,490,377.41/6,759.87
  6. Step 6: Final answer
    x = 3,474.97

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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.