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Finding the Fourth Proportional to 8,212.80, 12,320.80 and 3,532.80

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Solution

The fourth proportional to 8,212.80, 12,320.80 and 3,532.80 is: 5,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.80 : 12,320.80 = 3,532.80 : x
  2. Step 2: Convert to fraction form
    8,212.80/12,320.80 = 3,532.80/x
  3. Step 3: Cross multiply
    8,212.80x = 12,320.80 × 3,532.80
  4. Step 4: Simplify right side
    8,212.80x = 43,526,922.24
  5. Step 5: Solve for x
    x = 43,526,922.24/8,212.80
  6. Step 6: Final answer
    x = 5,299.89

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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.