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Finding the Fourth Proportional to 8,221.84, 12,331.80 and 3,291.28

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Solution

The fourth proportional to 8,221.84, 12,331.80 and 3,291.28 is: 4,936.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.84 : 12,331.80 = 3,291.28 : x
  2. Step 2: Convert to fraction form
    8,221.84/12,331.80 = 3,291.28/x
  3. Step 3: Cross multiply
    8,221.84x = 12,331.80 × 3,291.28
  4. Step 4: Simplify right side
    8,221.84x = 40,587,406.70
  5. Step 5: Solve for x
    x = 40,587,406.70/8,221.84
  6. Step 6: Final answer
    x = 4,936.54

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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.