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Finding the Fourth Proportional to 10,447.38, 14,416.38 and 5,969.70

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Solution

The fourth proportional to 10,447.38, 14,416.38 and 5,969.70 is: 8,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.38 : 14,416.38 = 5,969.70 : x
  2. Step 2: Convert to fraction form
    10,447.38/14,416.38 = 5,969.70/x
  3. Step 3: Cross multiply
    10,447.38x = 14,416.38 × 5,969.70
  4. Step 4: Simplify right side
    10,447.38x = 86,061,463.69
  5. Step 5: Solve for x
    x = 86,061,463.69/10,447.38
  6. Step 6: Final answer
    x = 8,237.61

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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.