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Finding the Fourth Proportional to 11,930.22, 17,881.82 and 6,074.46

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Solution

The fourth proportional to 11,930.22, 17,881.82 and 6,074.46 is: 9,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.22 : 17,881.82 = 6,074.46 : x
  2. Step 2: Convert to fraction form
    11,930.22/17,881.82 = 6,074.46/x
  3. Step 3: Cross multiply
    11,930.22x = 17,881.82 × 6,074.46
  4. Step 4: Simplify right side
    11,930.22x = 108,622,400.32
  5. Step 5: Solve for x
    x = 108,622,400.32/11,930.22
  6. Step 6: Final answer
    x = 9,104.81

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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.