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Finding the Fourth Proportional to 11,979.76, 16,523.27 and 7,728.66

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Solution

The fourth proportional to 11,979.76, 16,523.27 and 7,728.66 is: 10,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,979.76 : 16,523.27 = 7,728.66 : x
  2. Step 2: Convert to fraction form
    11,979.76/16,523.27 = 7,728.66/x
  3. Step 3: Cross multiply
    11,979.76x = 16,523.27 × 7,728.66
  4. Step 4: Simplify right side
    11,979.76x = 127,702,735.92
  5. Step 5: Solve for x
    x = 127,702,735.92/11,979.76
  6. Step 6: Final answer
    x = 10,659.87

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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.