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Finding the Fourth Proportional to 8,843.60, 13,243.80 and 4,221.20

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Solution

The fourth proportional to 8,843.60, 13,243.80 and 4,221.20 is: 6,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,843.60 : 13,243.80 = 4,221.20 : x
  2. Step 2: Convert to fraction form
    8,843.60/13,243.80 = 4,221.20/x
  3. Step 3: Cross multiply
    8,843.60x = 13,243.80 × 4,221.20
  4. Step 4: Simplify right side
    8,843.60x = 55,904,728.56
  5. Step 5: Solve for x
    x = 55,904,728.56/8,843.60
  6. Step 6: Final answer
    x = 6,321.49

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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.