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Finding the Fourth Proportional to 8,438.37, 12,657.56 and 2,198.37

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Solution

The fourth proportional to 8,438.37, 12,657.56 and 2,198.37 is: 3,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.37 : 12,657.56 = 2,198.37 : x
  2. Step 2: Convert to fraction form
    8,438.37/12,657.56 = 2,198.37/x
  3. Step 3: Cross multiply
    8,438.37x = 12,657.56 × 2,198.37
  4. Step 4: Simplify right side
    8,438.37x = 27,825,936.04
  5. Step 5: Solve for x
    x = 27,825,936.04/8,438.37
  6. Step 6: Final answer
    x = 3,297.55

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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.