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Finding the Fourth Proportional to 11,481.50, 15,845.39 and 6,446.05

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Solution

The fourth proportional to 11,481.50, 15,845.39 and 6,446.05 is: 8,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.50 : 15,845.39 = 6,446.05 : x
  2. Step 2: Convert to fraction form
    11,481.50/15,845.39 = 6,446.05/x
  3. Step 3: Cross multiply
    11,481.50x = 15,845.39 × 6,446.05
  4. Step 4: Simplify right side
    11,481.50x = 102,140,217.67
  5. Step 5: Solve for x
    x = 102,140,217.67/11,481.50
  6. Step 6: Final answer
    x = 8,896.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.