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Finding the Fourth Proportional to 11,945.78, 16,486.29 and 7,231.22

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Solution

The fourth proportional to 11,945.78, 16,486.29 and 7,231.22 is: 9,979.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945.78 : 16,486.29 = 7,231.22 : x
  2. Step 2: Convert to fraction form
    11,945.78/16,486.29 = 7,231.22/x
  3. Step 3: Cross multiply
    11,945.78x = 16,486.29 × 7,231.22
  4. Step 4: Simplify right side
    11,945.78x = 119,215,989.97
  5. Step 5: Solve for x
    x = 119,215,989.97/11,945.78
  6. Step 6: Final answer
    x = 9,979.76

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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.