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Finding the Fourth Proportional to 6,759.28, 10,138.85 and 2,142.28

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Solution

The fourth proportional to 6,759.28, 10,138.85 and 2,142.28 is: 3,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.28 : 10,138.85 = 2,142.28 : x
  2. Step 2: Convert to fraction form
    6,759.28/10,138.85 = 2,142.28/x
  3. Step 3: Cross multiply
    6,759.28x = 10,138.85 × 2,142.28
  4. Step 4: Simplify right side
    6,759.28x = 21,720,255.58
  5. Step 5: Solve for x
    x = 21,720,255.58/6,759.28
  6. Step 6: Final answer
    x = 3,213.40

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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.