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Finding the Fourth Proportional to 8,447.92, 12,676.20 and 3,257.20

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Solution

The fourth proportional to 8,447.92, 12,676.20 and 3,257.20 is: 4,887.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.92 : 12,676.20 = 3,257.20 : x
  2. Step 2: Convert to fraction form
    8,447.92/12,676.20 = 3,257.20/x
  3. Step 3: Cross multiply
    8,447.92x = 12,676.20 × 3,257.20
  4. Step 4: Simplify right side
    8,447.92x = 41,288,918.64
  5. Step 5: Solve for x
    x = 41,288,918.64/8,447.92
  6. Step 6: Final answer
    x = 4,887.47

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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.