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Finding the Fourth Proportional to 8,199.66, 12,299.49 and 2,043.66

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Solution

The fourth proportional to 8,199.66, 12,299.49 and 2,043.66 is: 3,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.66 : 12,299.49 = 2,043.66 : x
  2. Step 2: Convert to fraction form
    8,199.66/12,299.49 = 2,043.66/x
  3. Step 3: Cross multiply
    8,199.66x = 12,299.49 × 2,043.66
  4. Step 4: Simplify right side
    8,199.66x = 25,135,975.73
  5. Step 5: Solve for x
    x = 25,135,975.73/8,199.66
  6. Step 6: Final answer
    x = 3,065.49

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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.