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Finding the Fourth Proportional to 7,905.96, 11,863.08 and 3,229.44

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Solution

The fourth proportional to 7,905.96, 11,863.08 and 3,229.44 is: 4,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.96 : 11,863.08 = 3,229.44 : x
  2. Step 2: Convert to fraction form
    7,905.96/11,863.08 = 3,229.44/x
  3. Step 3: Cross multiply
    7,905.96x = 11,863.08 × 3,229.44
  4. Step 4: Simplify right side
    7,905.96x = 38,311,105.08
  5. Step 5: Solve for x
    x = 38,311,105.08/7,905.96
  6. Step 6: Final answer
    x = 4,845.85

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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.