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Finding the Fourth Proportional to 8,219.50, 12,327.78 and 2,672.03

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Solution

The fourth proportional to 8,219.50, 12,327.78 and 2,672.03 is: 4,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.50 : 12,327.78 = 2,672.03 : x
  2. Step 2: Convert to fraction form
    8,219.50/12,327.78 = 2,672.03/x
  3. Step 3: Cross multiply
    8,219.50x = 12,327.78 × 2,672.03
  4. Step 4: Simplify right side
    8,219.50x = 32,940,197.99
  5. Step 5: Solve for x
    x = 32,940,197.99/8,219.50
  6. Step 6: Final answer
    x = 4,007.57

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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.