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Finding the Fourth Proportional to 8,451.65, 12,676.39 and 2,212.09

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Solution

The fourth proportional to 8,451.65, 12,676.39 and 2,212.09 is: 3,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.65 : 12,676.39 = 2,212.09 : x
  2. Step 2: Convert to fraction form
    8,451.65/12,676.39 = 2,212.09/x
  3. Step 3: Cross multiply
    8,451.65x = 12,676.39 × 2,212.09
  4. Step 4: Simplify right side
    8,451.65x = 28,041,315.56
  5. Step 5: Solve for x
    x = 28,041,315.56/8,451.65
  6. Step 6: Final answer
    x = 3,317.85

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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.