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Finding the Fourth Proportional to 8,524.71, 11,766.33 and 5,167.67

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Solution

The fourth proportional to 8,524.71, 11,766.33 and 5,167.67 is: 7,132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.71 : 11,766.33 = 5,167.67 : x
  2. Step 2: Convert to fraction form
    8,524.71/11,766.33 = 5,167.67/x
  3. Step 3: Cross multiply
    8,524.71x = 11,766.33 × 5,167.67
  4. Step 4: Simplify right side
    8,524.71x = 60,804,451.72
  5. Step 5: Solve for x
    x = 60,804,451.72/8,524.71
  6. Step 6: Final answer
    x = 7,132.73

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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.