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Finding the Fourth Proportional to 8,096.80, 12,142.80 and 3,163.60

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Solution

The fourth proportional to 8,096.80, 12,142.80 and 3,163.60 is: 4,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.80 : 12,142.80 = 3,163.60 : x
  2. Step 2: Convert to fraction form
    8,096.80/12,142.80 = 3,163.60/x
  3. Step 3: Cross multiply
    8,096.80x = 12,142.80 × 3,163.60
  4. Step 4: Simplify right side
    8,096.80x = 38,414,962.08
  5. Step 5: Solve for x
    x = 38,414,962.08/8,096.80
  6. Step 6: Final answer
    x = 4,744.46

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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.