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Finding the Fourth Proportional to 8,120.16, 12,181.20 and 5,200.80

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Solution

The fourth proportional to 8,120.16, 12,181.20 and 5,200.80 is: 7,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.16 : 12,181.20 = 5,200.80 : x
  2. Step 2: Convert to fraction form
    8,120.16/12,181.20 = 5,200.80/x
  3. Step 3: Cross multiply
    8,120.16x = 12,181.20 × 5,200.80
  4. Step 4: Simplify right side
    8,120.16x = 63,351,984.96
  5. Step 5: Solve for x
    x = 63,351,984.96/8,120.16
  6. Step 6: Final answer
    x = 7,801.81

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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.