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Finding the Fourth Proportional to 8,524.09, 11,767.84 and 5,979.64

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Solution

The fourth proportional to 8,524.09, 11,767.84 and 5,979.64 is: 8,255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.09 : 11,767.84 = 5,979.64 : x
  2. Step 2: Convert to fraction form
    8,524.09/11,767.84 = 5,979.64/x
  3. Step 3: Cross multiply
    8,524.09x = 11,767.84 × 5,979.64
  4. Step 4: Simplify right side
    8,524.09x = 70,367,441.29
  5. Step 5: Solve for x
    x = 70,367,441.29/8,524.09
  6. Step 6: Final answer
    x = 8,255.13

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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.