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Finding the Fourth Proportional to 11,767.75, 16,236.62 and 6,663.38

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Solution

The fourth proportional to 11,767.75, 16,236.62 and 6,663.38 is: 9,193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.75 : 16,236.62 = 6,663.38 : x
  2. Step 2: Convert to fraction form
    11,767.75/16,236.62 = 6,663.38/x
  3. Step 3: Cross multiply
    11,767.75x = 16,236.62 × 6,663.38
  4. Step 4: Simplify right side
    11,767.75x = 108,190,801.24
  5. Step 5: Solve for x
    x = 108,190,801.24/11,767.75
  6. Step 6: Final answer
    x = 9,193.84

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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.