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Finding the Fourth Proportional to 11,234.36, 16,861.91 and 5,691.60

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Solution

The fourth proportional to 11,234.36, 16,861.91 and 5,691.60 is: 8,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.36 : 16,861.91 = 5,691.60 : x
  2. Step 2: Convert to fraction form
    11,234.36/16,861.91 = 5,691.60/x
  3. Step 3: Cross multiply
    11,234.36x = 16,861.91 × 5,691.60
  4. Step 4: Simplify right side
    11,234.36x = 95,971,218.50
  5. Step 5: Solve for x
    x = 95,971,218.50/11,234.36
  6. Step 6: Final answer
    x = 8,542.65

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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.