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Finding the Fourth Proportional to 8,212.38, 12,316.65 and 2,664.30

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Solution

The fourth proportional to 8,212.38, 12,316.65 and 2,664.30 is: 3,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.38 : 12,316.65 = 2,664.30 : x
  2. Step 2: Convert to fraction form
    8,212.38/12,316.65 = 2,664.30/x
  3. Step 3: Cross multiply
    8,212.38x = 12,316.65 × 2,664.30
  4. Step 4: Simplify right side
    8,212.38x = 32,815,250.60
  5. Step 5: Solve for x
    x = 32,815,250.60/8,212.38
  6. Step 6: Final answer
    x = 3,995.83

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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.