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Finding the Fourth Proportional to 10,221.80, 15,329.10 and 3,648.20

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Solution

The fourth proportional to 10,221.80, 15,329.10 and 3,648.20 is: 5,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.80 : 15,329.10 = 3,648.20 : x
  2. Step 2: Convert to fraction form
    10,221.80/15,329.10 = 3,648.20/x
  3. Step 3: Cross multiply
    10,221.80x = 15,329.10 × 3,648.20
  4. Step 4: Simplify right side
    10,221.80x = 55,923,622.62
  5. Step 5: Solve for x
    x = 55,923,622.62/10,221.80
  6. Step 6: Final answer
    x = 5,471.02

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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.