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Finding the Fourth Proportional to 11,986.08, 16,540.20 and 6,680.88

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Solution

The fourth proportional to 11,986.08, 16,540.20 and 6,680.88 is: 9,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.08 : 16,540.20 = 6,680.88 : x
  2. Step 2: Convert to fraction form
    11,986.08/16,540.20 = 6,680.88/x
  3. Step 3: Cross multiply
    11,986.08x = 16,540.20 × 6,680.88
  4. Step 4: Simplify right side
    11,986.08x = 110,503,091.38
  5. Step 5: Solve for x
    x = 110,503,091.38/11,986.08
  6. Step 6: Final answer
    x = 9,219.29

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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.