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Finding the Fourth Proportional to 8,532.80, 12,796.12 and 3,269.28

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Solution

The fourth proportional to 8,532.80, 12,796.12 and 3,269.28 is: 4,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.80 : 12,796.12 = 3,269.28 : x
  2. Step 2: Convert to fraction form
    8,532.80/12,796.12 = 3,269.28/x
  3. Step 3: Cross multiply
    8,532.80x = 12,796.12 × 3,269.28
  4. Step 4: Simplify right side
    8,532.80x = 41,834,099.19
  5. Step 5: Solve for x
    x = 41,834,099.19/8,532.80
  6. Step 6: Final answer
    x = 4,902.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.