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Finding the Fourth Proportional to 6,952.68, 10,424.16 and 3,488.04

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Solution

The fourth proportional to 6,952.68, 10,424.16 and 3,488.04 is: 5,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.68 : 10,424.16 = 3,488.04 : x
  2. Step 2: Convert to fraction form
    6,952.68/10,424.16 = 3,488.04/x
  3. Step 3: Cross multiply
    6,952.68x = 10,424.16 × 3,488.04
  4. Step 4: Simplify right side
    6,952.68x = 36,359,887.05
  5. Step 5: Solve for x
    x = 36,359,887.05/6,952.68
  6. Step 6: Final answer
    x = 5,229.62

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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.