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Finding the Fourth Proportional to 8,842.39, 12,202.25 and 4,863.51

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Solution

The fourth proportional to 8,842.39, 12,202.25 and 4,863.51 is: 6,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.39 : 12,202.25 = 4,863.51 : x
  2. Step 2: Convert to fraction form
    8,842.39/12,202.25 = 4,863.51/x
  3. Step 3: Cross multiply
    8,842.39x = 12,202.25 × 4,863.51
  4. Step 4: Simplify right side
    8,842.39x = 59,345,781.62
  5. Step 5: Solve for x
    x = 59,345,781.62/8,842.39
  6. Step 6: Final answer
    x = 6,711.51

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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.