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Finding the Fourth Proportional to 11,441.81, 17,162.73 and 4,042.22

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Solution

The fourth proportional to 11,441.81, 17,162.73 and 4,042.22 is: 6,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.81 : 17,162.73 = 4,042.22 : x
  2. Step 2: Convert to fraction form
    11,441.81/17,162.73 = 4,042.22/x
  3. Step 3: Cross multiply
    11,441.81x = 17,162.73 × 4,042.22
  4. Step 4: Simplify right side
    11,441.81x = 69,375,530.46
  5. Step 5: Solve for x
    x = 69,375,530.46/11,441.81
  6. Step 6: Final answer
    x = 6,063.34

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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.