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Finding the Fourth Proportional to 8,224.47, 12,337.74 and 2,676.33

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Solution

The fourth proportional to 8,224.47, 12,337.74 and 2,676.33 is: 4,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.47 : 12,337.74 = 2,676.33 : x
  2. Step 2: Convert to fraction form
    8,224.47/12,337.74 = 2,676.33/x
  3. Step 3: Cross multiply
    8,224.47x = 12,337.74 × 2,676.33
  4. Step 4: Simplify right side
    8,224.47x = 33,019,863.69
  5. Step 5: Solve for x
    x = 33,019,863.69/8,224.47
  6. Step 6: Final answer
    x = 4,014.83

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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.