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Finding the Fourth Proportional to 11,819.32, 17,728.94 and 3,499.39

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Solution

The fourth proportional to 11,819.32, 17,728.94 and 3,499.39 is: 5,249.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.32 : 17,728.94 = 3,499.39 : x
  2. Step 2: Convert to fraction form
    11,819.32/17,728.94 = 3,499.39/x
  3. Step 3: Cross multiply
    11,819.32x = 17,728.94 × 3,499.39
  4. Step 4: Simplify right side
    11,819.32x = 62,040,369.20
  5. Step 5: Solve for x
    x = 62,040,369.20/11,819.32
  6. Step 6: Final answer
    x = 5,249.07

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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.