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Finding the Fourth Proportional to 10,441.38, 14,408.97 and 5,965.10

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Solution

The fourth proportional to 10,441.38, 14,408.97 and 5,965.10 is: 8,231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.38 : 14,408.97 = 5,965.10 : x
  2. Step 2: Convert to fraction form
    10,441.38/14,408.97 = 5,965.10/x
  3. Step 3: Cross multiply
    10,441.38x = 14,408.97 × 5,965.10
  4. Step 4: Simplify right side
    10,441.38x = 85,950,874.90
  5. Step 5: Solve for x
    x = 85,950,874.90/10,441.38
  6. Step 6: Final answer
    x = 8,231.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.