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Finding the Fourth Proportional to 11,610.62, 17,418.44 and 3,819.14

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Solution

The fourth proportional to 11,610.62, 17,418.44 and 3,819.14 is: 5,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.62 : 17,418.44 = 3,819.14 : x
  2. Step 2: Convert to fraction form
    11,610.62/17,418.44 = 3,819.14/x
  3. Step 3: Cross multiply
    11,610.62x = 17,418.44 × 3,819.14
  4. Step 4: Simplify right side
    11,610.62x = 66,523,383.40
  5. Step 5: Solve for x
    x = 66,523,383.40/11,610.62
  6. Step 6: Final answer
    x = 5,729.53

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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.