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Finding the Fourth Proportional to 8,199.47, 12,298.46 and 3,267.78

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Solution

The fourth proportional to 8,199.47, 12,298.46 and 3,267.78 is: 4,901.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.47 : 12,298.46 = 3,267.78 : x
  2. Step 2: Convert to fraction form
    8,199.47/12,298.46 = 3,267.78/x
  3. Step 3: Cross multiply
    8,199.47x = 12,298.46 × 3,267.78
  4. Step 4: Simplify right side
    8,199.47x = 40,188,645.28
  5. Step 5: Solve for x
    x = 40,188,645.28/8,199.47
  6. Step 6: Final answer
    x = 4,901.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.