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Finding the Fourth Proportional to 8,121.20, 12,181.80 and 4,233.20

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Solution

The fourth proportional to 8,121.20, 12,181.80 and 4,233.20 is: 6,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.20 : 12,181.80 = 4,233.20 : x
  2. Step 2: Convert to fraction form
    8,121.20/12,181.80 = 4,233.20/x
  3. Step 3: Cross multiply
    8,121.20x = 12,181.80 × 4,233.20
  4. Step 4: Simplify right side
    8,121.20x = 51,567,995.76
  5. Step 5: Solve for x
    x = 51,567,995.76/8,121.20
  6. Step 6: Final answer
    x = 6,349.80

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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.