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Finding the Fourth Proportional to 6,759.75, 10,141.26 and 2,142.75

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Solution

The fourth proportional to 6,759.75, 10,141.26 and 2,142.75 is: 3,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759.75 : 10,141.26 = 2,142.75 : x
  2. Step 2: Convert to fraction form
    6,759.75/10,141.26 = 2,142.75/x
  3. Step 3: Cross multiply
    6,759.75x = 10,141.26 × 2,142.75
  4. Step 4: Simplify right side
    6,759.75x = 21,730,184.87
  5. Step 5: Solve for x
    x = 21,730,184.87/6,759.75
  6. Step 6: Final answer
    x = 3,214.64

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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.