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Finding the Fourth Proportional to 10,952.48, 16,426.24 and 3,161.92

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Solution

The fourth proportional to 10,952.48, 16,426.24 and 3,161.92 is: 4,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.48 : 16,426.24 = 3,161.92 : x
  2. Step 2: Convert to fraction form
    10,952.48/16,426.24 = 3,161.92/x
  3. Step 3: Cross multiply
    10,952.48x = 16,426.24 × 3,161.92
  4. Step 4: Simplify right side
    10,952.48x = 51,938,456.78
  5. Step 5: Solve for x
    x = 51,938,456.78/10,952.48
  6. Step 6: Final answer
    x = 4,742.16

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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.