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Finding the Fourth Proportional to 8,211.33, 12,323.00 and 3,282.41

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Solution

The fourth proportional to 8,211.33, 12,323.00 and 3,282.41 is: 4,926.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.33 : 12,323.00 = 3,282.41 : x
  2. Step 2: Convert to fraction form
    8,211.33/12,323.00 = 3,282.41/x
  3. Step 3: Cross multiply
    8,211.33x = 12,323.00 × 3,282.41
  4. Step 4: Simplify right side
    8,211.33x = 40,449,177.44
  5. Step 5: Solve for x
    x = 40,449,177.44/8,211.33
  6. Step 6: Final answer
    x = 4,926.02

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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.