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Finding the Fourth Proportional to 6,952.68, 10,432.20 and 3,791.28

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Solution

The fourth proportional to 6,952.68, 10,432.20 and 3,791.28 is: 5,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.68 : 10,432.20 = 3,791.28 : x
  2. Step 2: Convert to fraction form
    6,952.68/10,432.20 = 3,791.28/x
  3. Step 3: Cross multiply
    6,952.68x = 10,432.20 × 3,791.28
  4. Step 4: Simplify right side
    6,952.68x = 39,551,391.22
  5. Step 5: Solve for x
    x = 39,551,391.22/6,952.68
  6. Step 6: Final answer
    x = 5,688.65

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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.