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Finding the Fourth Proportional to 8,524.33, 12,786.47 and 3,838.85

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Solution

The fourth proportional to 8,524.33, 12,786.47 and 3,838.85 is: 5,758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.33 : 12,786.47 = 3,838.85 : x
  2. Step 2: Convert to fraction form
    8,524.33/12,786.47 = 3,838.85/x
  3. Step 3: Cross multiply
    8,524.33x = 12,786.47 × 3,838.85
  4. Step 4: Simplify right side
    8,524.33x = 49,085,353.13
  5. Step 5: Solve for x
    x = 49,085,353.13/8,524.33
  6. Step 6: Final answer
    x = 5,758.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.