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Finding the Fourth Proportional to 8,524.68, 11,767.70 and 5,731.80

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Solution

The fourth proportional to 8,524.68, 11,767.70 and 5,731.80 is: 7,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.68 : 11,767.70 = 5,731.80 : x
  2. Step 2: Convert to fraction form
    8,524.68/11,767.70 = 5,731.80/x
  3. Step 3: Cross multiply
    8,524.68x = 11,767.70 × 5,731.80
  4. Step 4: Simplify right side
    8,524.68x = 67,450,102.86
  5. Step 5: Solve for x
    x = 67,450,102.86/8,524.68
  6. Step 6: Final answer
    x = 7,912.33

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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.