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Finding the Fourth Proportional to 10,952.80, 16,429.43 and 3,557.23

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Solution

The fourth proportional to 10,952.80, 16,429.43 and 3,557.23 is: 5,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.80 : 16,429.43 = 3,557.23 : x
  2. Step 2: Convert to fraction form
    10,952.80/16,429.43 = 3,557.23/x
  3. Step 3: Cross multiply
    10,952.80x = 16,429.43 × 3,557.23
  4. Step 4: Simplify right side
    10,952.80x = 58,443,229.10
  5. Step 5: Solve for x
    x = 58,443,229.10/10,952.80
  6. Step 6: Final answer
    x = 5,335.92

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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.