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Finding the Fourth Proportional to 8,171.85, 12,247 and 3,238.80

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Solution

The fourth proportional to 8,171.85, 12,247 and 3,238.80 is: 4,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.85 : 12,247 = 3,238.80 : x
  2. Step 2: Convert to fraction form
    8,171.85/12,247 = 3,238.80/x
  3. Step 3: Cross multiply
    8,171.85x = 12,247 × 3,238.80
  4. Step 4: Simplify right side
    8,171.85x = 39,665,583.60
  5. Step 5: Solve for x
    x = 39,665,583.60/8,171.85
  6. Step 6: Final answer
    x = 4,853.93

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Why These Related Problems?

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