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Finding the Fourth Proportional to 8,198.54, 12,297.82 and 3,515.53

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Solution

The fourth proportional to 8,198.54, 12,297.82 and 3,515.53 is: 5,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.54 : 12,297.82 = 3,515.53 : x
  2. Step 2: Convert to fraction form
    8,198.54/12,297.82 = 3,515.53/x
  3. Step 3: Cross multiply
    8,198.54x = 12,297.82 × 3,515.53
  4. Step 4: Simplify right side
    8,198.54x = 43,233,315.61
  5. Step 5: Solve for x
    x = 43,233,315.61/8,198.54
  6. Step 6: Final answer
    x = 5,273.29

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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.