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Finding the Fourth Proportional to 8,072.40, 12,106.56 and 2,227.68

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Solution

The fourth proportional to 8,072.40, 12,106.56 and 2,227.68 is: 3,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.40 : 12,106.56 = 2,227.68 : x
  2. Step 2: Convert to fraction form
    8,072.40/12,106.56 = 2,227.68/x
  3. Step 3: Cross multiply
    8,072.40x = 12,106.56 × 2,227.68
  4. Step 4: Simplify right side
    8,072.40x = 26,969,541.58
  5. Step 5: Solve for x
    x = 26,969,541.58/8,072.40
  6. Step 6: Final answer
    x = 3,340.96

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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.