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Finding the Fourth Proportional to 11,251.92, 16,860 and 7,540.44

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Solution

The fourth proportional to 11,251.92, 16,860 and 7,540.44 is: 11,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251.92 : 16,860 = 7,540.44 : x
  2. Step 2: Convert to fraction form
    11,251.92/16,860 = 7,540.44/x
  3. Step 3: Cross multiply
    11,251.92x = 16,860 × 7,540.44
  4. Step 4: Simplify right side
    11,251.92x = 127,131,818.40
  5. Step 5: Solve for x
    x = 127,131,818.40/11,251.92
  6. Step 6: Final answer
    x = 11,298.68

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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.