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Finding the Fourth Proportional to 11,945.98, 16,481.19 and 8,213.50

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Solution

The fourth proportional to 11,945.98, 16,481.19 and 8,213.50 is: 11,331.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945.98 : 16,481.19 = 8,213.50 : x
  2. Step 2: Convert to fraction form
    11,945.98/16,481.19 = 8,213.50/x
  3. Step 3: Cross multiply
    11,945.98x = 16,481.19 × 8,213.50
  4. Step 4: Simplify right side
    11,945.98x = 135,368,254.07
  5. Step 5: Solve for x
    x = 135,368,254.07/11,945.98
  6. Step 6: Final answer
    x = 11,331.70

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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.