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Finding the Fourth Proportional to 11,861.52, 16,321.68 and 11,500.80

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Solution

The fourth proportional to 11,861.52, 16,321.68 and 11,500.80 is: 15,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.52 : 16,321.68 = 11,500.80 : x
  2. Step 2: Convert to fraction form
    11,861.52/16,321.68 = 11,500.80/x
  3. Step 3: Cross multiply
    11,861.52x = 16,321.68 × 11,500.80
  4. Step 4: Simplify right side
    11,861.52x = 187,712,377.34
  5. Step 5: Solve for x
    x = 187,712,377.34/11,861.52
  6. Step 6: Final answer
    x = 15,825.32

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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.