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Finding the Fourth Proportional to 8,197.72, 12,295.83 and 3,266.03

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Solution

The fourth proportional to 8,197.72, 12,295.83 and 3,266.03 is: 4,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.72 : 12,295.83 = 3,266.03 : x
  2. Step 2: Convert to fraction form
    8,197.72/12,295.83 = 3,266.03/x
  3. Step 3: Cross multiply
    8,197.72x = 12,295.83 × 3,266.03
  4. Step 4: Simplify right side
    8,197.72x = 40,158,549.65
  5. Step 5: Solve for x
    x = 40,158,549.65/8,197.72
  6. Step 6: Final answer
    x = 4,898.75

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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.