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Finding the Fourth Proportional to 8,198.70, 12,296.85 and 4,037.58

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Solution

The fourth proportional to 8,198.70, 12,296.85 and 4,037.58 is: 6,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.70 : 12,296.85 = 4,037.58 : x
  2. Step 2: Convert to fraction form
    8,198.70/12,296.85 = 4,037.58/x
  3. Step 3: Cross multiply
    8,198.70x = 12,296.85 × 4,037.58
  4. Step 4: Simplify right side
    8,198.70x = 49,649,515.62
  5. Step 5: Solve for x
    x = 49,649,515.62/8,198.70
  6. Step 6: Final answer
    x = 6,055.78

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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.