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Finding the Fourth Proportional to 11,608.45, 17,414.49 and 3,815.44

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Solution

The fourth proportional to 11,608.45, 17,414.49 and 3,815.44 is: 5,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.45 : 17,414.49 = 3,815.44 : x
  2. Step 2: Convert to fraction form
    11,608.45/17,414.49 = 3,815.44/x
  3. Step 3: Cross multiply
    11,608.45x = 17,414.49 × 3,815.44
  4. Step 4: Simplify right side
    11,608.45x = 66,443,912.50
  5. Step 5: Solve for x
    x = 66,443,912.50/11,608.45
  6. Step 6: Final answer
    x = 5,723.76

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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.