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Finding the Fourth Proportional to 8,076.52, 12,113.44 and 2,231.80

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Solution

The fourth proportional to 8,076.52, 12,113.44 and 2,231.80 is: 3,347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.52 : 12,113.44 = 2,231.80 : x
  2. Step 2: Convert to fraction form
    8,076.52/12,113.44 = 2,231.80/x
  3. Step 3: Cross multiply
    8,076.52x = 12,113.44 × 2,231.80
  4. Step 4: Simplify right side
    8,076.52x = 27,034,775.39
  5. Step 5: Solve for x
    x = 27,034,775.39/8,076.52
  6. Step 6: Final answer
    x = 3,347.33

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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.