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Finding the Fourth Proportional to 11,481.83, 17,222.84 and 3,162.31

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Solution

The fourth proportional to 11,481.83, 17,222.84 and 3,162.31 is: 4,743.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.83 : 17,222.84 = 3,162.31 : x
  2. Step 2: Convert to fraction form
    11,481.83/17,222.84 = 3,162.31/x
  3. Step 3: Cross multiply
    11,481.83x = 17,222.84 × 3,162.31
  4. Step 4: Simplify right side
    11,481.83x = 54,463,857.23
  5. Step 5: Solve for x
    x = 54,463,857.23/11,481.83
  6. Step 6: Final answer
    x = 4,743.48

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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.