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Finding the Fourth Proportional to 11,992.18, 16,540.32 and 7,951.66

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Solution

The fourth proportional to 11,992.18, 16,540.32 and 7,951.66 is: 10,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.18 : 16,540.32 = 7,951.66 : x
  2. Step 2: Convert to fraction form
    11,992.18/16,540.32 = 7,951.66/x
  3. Step 3: Cross multiply
    11,992.18x = 16,540.32 × 7,951.66
  4. Step 4: Simplify right side
    11,992.18x = 131,523,000.93
  5. Step 5: Solve for x
    x = 131,523,000.93/11,992.18
  6. Step 6: Final answer
    x = 10,967.40

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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.