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Finding the Fourth Proportional to 8,140.20, 12,207.90 and 3,208.20

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Solution

The fourth proportional to 8,140.20, 12,207.90 and 3,208.20 is: 4,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.20 : 12,207.90 = 3,208.20 : x
  2. Step 2: Convert to fraction form
    8,140.20/12,207.90 = 3,208.20/x
  3. Step 3: Cross multiply
    8,140.20x = 12,207.90 × 3,208.20
  4. Step 4: Simplify right side
    8,140.20x = 39,165,384.78
  5. Step 5: Solve for x
    x = 39,165,384.78/8,140.20
  6. Step 6: Final answer
    x = 4,811.35

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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.