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Finding the Fourth Proportional to 8,198.32, 12,297.48 and 3,515.28

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Solution

The fourth proportional to 8,198.32, 12,297.48 and 3,515.28 is: 5,272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.32 : 12,297.48 = 3,515.28 : x
  2. Step 2: Convert to fraction form
    8,198.32/12,297.48 = 3,515.28/x
  3. Step 3: Cross multiply
    8,198.32x = 12,297.48 × 3,515.28
  4. Step 4: Simplify right side
    8,198.32x = 43,229,085.49
  5. Step 5: Solve for x
    x = 43,229,085.49/8,198.32
  6. Step 6: Final answer
    x = 5,272.92

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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.