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Finding the Fourth Proportional to 6,759.25, 10,138.92 and 2,142.25

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Solution

The fourth proportional to 6,759.25, 10,138.92 and 2,142.25 is: 3,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.25 : 10,138.92 = 2,142.25 : x
  2. Step 2: Convert to fraction form
    6,759.25/10,138.92 = 2,142.25/x
  3. Step 3: Cross multiply
    6,759.25x = 10,138.92 × 2,142.25
  4. Step 4: Simplify right side
    6,759.25x = 21,720,101.37
  5. Step 5: Solve for x
    x = 21,720,101.37/6,759.25
  6. Step 6: Final answer
    x = 3,213.39

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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.