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Finding the Fourth Proportional to 8,197.52, 12,297.06 and 3,266.04

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Solution

The fourth proportional to 8,197.52, 12,297.06 and 3,266.04 is: 4,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.52 : 12,297.06 = 3,266.04 : x
  2. Step 2: Convert to fraction form
    8,197.52/12,297.06 = 3,266.04/x
  3. Step 3: Cross multiply
    8,197.52x = 12,297.06 × 3,266.04
  4. Step 4: Simplify right side
    8,197.52x = 40,162,689.84
  5. Step 5: Solve for x
    x = 40,162,689.84/8,197.52
  6. Step 6: Final answer
    x = 4,899.37

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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.