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Finding the Fourth Proportional to 6,952.62, 10,424.38 and 2,567.69

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Solution

The fourth proportional to 6,952.62, 10,424.38 and 2,567.69 is: 3,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.62 : 10,424.38 = 2,567.69 : x
  2. Step 2: Convert to fraction form
    6,952.62/10,424.38 = 2,567.69/x
  3. Step 3: Cross multiply
    6,952.62x = 10,424.38 × 2,567.69
  4. Step 4: Simplify right side
    6,952.62x = 26,766,576.28
  5. Step 5: Solve for x
    x = 26,766,576.28/6,952.62
  6. Step 6: Final answer
    x = 3,849.85

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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.