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Finding the Fourth Proportional to 11,940.48, 16,473.60 and 8,208

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Solution

The fourth proportional to 11,940.48, 16,473.60 and 8,208 is: 11,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.48 : 16,473.60 = 8,208 : x
  2. Step 2: Convert to fraction form
    11,940.48/16,473.60 = 8,208/x
  3. Step 3: Cross multiply
    11,940.48x = 16,473.60 × 8,208
  4. Step 4: Simplify right side
    11,940.48x = 135,215,308.80
  5. Step 5: Solve for x
    x = 135,215,308.80/11,940.48
  6. Step 6: Final answer
    x = 11,324.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.