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Finding the Fourth Proportional to 11,793.60, 17,704.80 and 6,532.80

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Solution

The fourth proportional to 11,793.60, 17,704.80 and 6,532.80 is: 9,807.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.60 : 17,704.80 = 6,532.80 : x
  2. Step 2: Convert to fraction form
    11,793.60/17,704.80 = 6,532.80/x
  3. Step 3: Cross multiply
    11,793.60x = 17,704.80 × 6,532.80
  4. Step 4: Simplify right side
    11,793.60x = 115,661,917.44
  5. Step 5: Solve for x
    x = 115,661,917.44/11,793.60
  6. Step 6: Final answer
    x = 9,807.18

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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.