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Finding the Fourth Proportional to 11,793.52, 17,694.12 and 5,638

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Solution

The fourth proportional to 11,793.52, 17,694.12 and 5,638 is: 8,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.52 : 17,694.12 = 5,638 : x
  2. Step 2: Convert to fraction form
    11,793.52/17,694.12 = 5,638/x
  3. Step 3: Cross multiply
    11,793.52x = 17,694.12 × 5,638
  4. Step 4: Simplify right side
    11,793.52x = 99,759,448.56
  5. Step 5: Solve for x
    x = 99,759,448.56/11,793.52
  6. Step 6: Final answer
    x = 8,458.84

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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.