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Finding the Fourth Proportional to 8,819.88, 13,229.82 and 4,206.12

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Solution

The fourth proportional to 8,819.88, 13,229.82 and 4,206.12 is: 6,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,819.88 : 13,229.82 = 4,206.12 : x
  2. Step 2: Convert to fraction form
    8,819.88/13,229.82 = 4,206.12/x
  3. Step 3: Cross multiply
    8,819.88x = 13,229.82 × 4,206.12
  4. Step 4: Simplify right side
    8,819.88x = 55,646,210.50
  5. Step 5: Solve for x
    x = 55,646,210.50/8,819.88
  6. Step 6: Final answer
    x = 6,309.18

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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.