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Finding the Fourth Proportional to 6,759.74, 10,139.60 and 2,142.38

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Solution

The fourth proportional to 6,759.74, 10,139.60 and 2,142.38 is: 3,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.74 : 10,139.60 = 2,142.38 : x
  2. Step 2: Convert to fraction form
    6,759.74/10,139.60 = 2,142.38/x
  3. Step 3: Cross multiply
    6,759.74x = 10,139.60 × 2,142.38
  4. Step 4: Simplify right side
    6,759.74x = 21,722,876.25
  5. Step 5: Solve for x
    x = 21,722,876.25/6,759.74
  6. Step 6: Final answer
    x = 3,213.57

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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.