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Finding the Fourth Proportional to 10,960.38, 16,443 and 3,169.26

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Solution

The fourth proportional to 10,960.38, 16,443 and 3,169.26 is: 4,754.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.38 : 16,443 = 3,169.26 : x
  2. Step 2: Convert to fraction form
    10,960.38/16,443 = 3,169.26/x
  3. Step 3: Cross multiply
    10,960.38x = 16,443 × 3,169.26
  4. Step 4: Simplify right side
    10,960.38x = 52,112,142.18
  5. Step 5: Solve for x
    x = 52,112,142.18/10,960.38
  6. Step 6: Final answer
    x = 4,754.59

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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.