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Finding the Fourth Proportional to 8,663, 12,993.90 and 2,819.48

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Solution

The fourth proportional to 8,663, 12,993.90 and 2,819.48 is: 4,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663 : 12,993.90 = 2,819.48 : x
  2. Step 2: Convert to fraction form
    8,663/12,993.90 = 2,819.48/x
  3. Step 3: Cross multiply
    8,663x = 12,993.90 × 2,819.48
  4. Step 4: Simplify right side
    8,663x = 36,636,041.17
  5. Step 5: Solve for x
    x = 36,636,041.17/8,663
  6. Step 6: Final answer
    x = 4,229.02

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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.