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Finding the Fourth Proportional to 8,220.13, 11,344.07 and 4,494.13

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Solution

The fourth proportional to 8,220.13, 11,344.07 and 4,494.13 is: 6,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.13 : 11,344.07 = 4,494.13 : x
  2. Step 2: Convert to fraction form
    8,220.13/11,344.07 = 4,494.13/x
  3. Step 3: Cross multiply
    8,220.13x = 11,344.07 × 4,494.13
  4. Step 4: Simplify right side
    8,220.13x = 50,981,725.31
  5. Step 5: Solve for x
    x = 50,981,725.31/8,220.13
  6. Step 6: Final answer
    x = 6,202.06

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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.