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Finding the Fourth Proportional to 11,704.68, 17,532.42 and 5,469.96

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Solution

The fourth proportional to 11,704.68, 17,532.42 and 5,469.96 is: 8,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.68 : 17,532.42 = 5,469.96 : x
  2. Step 2: Convert to fraction form
    11,704.68/17,532.42 = 5,469.96/x
  3. Step 3: Cross multiply
    11,704.68x = 17,532.42 × 5,469.96
  4. Step 4: Simplify right side
    11,704.68x = 95,901,636.10
  5. Step 5: Solve for x
    x = 95,901,636.10/11,704.68
  6. Step 6: Final answer
    x = 8,193.44

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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.