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Finding the Fourth Proportional to 8,209.92, 12,316.50 and 2,662.23

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Solution

The fourth proportional to 8,209.92, 12,316.50 and 2,662.23 is: 3,993.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.92 : 12,316.50 = 2,662.23 : x
  2. Step 2: Convert to fraction form
    8,209.92/12,316.50 = 2,662.23/x
  3. Step 3: Cross multiply
    8,209.92x = 12,316.50 × 2,662.23
  4. Step 4: Simplify right side
    8,209.92x = 32,789,355.80
  5. Step 5: Solve for x
    x = 32,789,355.80/8,209.92
  6. Step 6: Final answer
    x = 3,993.87

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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.