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Finding the Fourth Proportional to 11,255.50, 16,874.10 and 4,231.60

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Solution

The fourth proportional to 11,255.50, 16,874.10 and 4,231.60 is: 6,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,255.50 : 16,874.10 = 4,231.60 : x
  2. Step 2: Convert to fraction form
    11,255.50/16,874.10 = 4,231.60/x
  3. Step 3: Cross multiply
    11,255.50x = 16,874.10 × 4,231.60
  4. Step 4: Simplify right side
    11,255.50x = 71,404,441.56
  5. Step 5: Solve for x
    x = 71,404,441.56/11,255.50
  6. Step 6: Final answer
    x = 6,343.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.