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Finding the Fourth Proportional to 8,220.57, 11,344.20 and 4,818.42

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Solution

The fourth proportional to 8,220.57, 11,344.20 and 4,818.42 is: 6,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.57 : 11,344.20 = 4,818.42 : x
  2. Step 2: Convert to fraction form
    8,220.57/11,344.20 = 4,818.42/x
  3. Step 3: Cross multiply
    8,220.57x = 11,344.20 × 4,818.42
  4. Step 4: Simplify right side
    8,220.57x = 54,661,120.16
  5. Step 5: Solve for x
    x = 54,661,120.16/8,220.57
  6. Step 6: Final answer
    x = 6,649.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.