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Finding the Fourth Proportional to 8,198.00, 12,298.56 and 3,517.34

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Solution

The fourth proportional to 8,198.00, 12,298.56 and 3,517.34 is: 5,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.00 : 12,298.56 = 3,517.34 : x
  2. Step 2: Convert to fraction form
    8,198.00/12,298.56 = 3,517.34/x
  3. Step 3: Cross multiply
    8,198.00x = 12,298.56 × 3,517.34
  4. Step 4: Simplify right side
    8,198.00x = 43,258,155.54
  5. Step 5: Solve for x
    x = 43,258,155.54/8,198.00
  6. Step 6: Final answer
    x = 5,276.68

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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.