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Finding the Fourth Proportional to 8,016.26, 12,026.80 and 2,822.12

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Solution

The fourth proportional to 8,016.26, 12,026.80 and 2,822.12 is: 4,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,016.26 : 12,026.80 = 2,822.12 : x
  2. Step 2: Convert to fraction form
    8,016.26/12,026.80 = 2,822.12/x
  3. Step 3: Cross multiply
    8,016.26x = 12,026.80 × 2,822.12
  4. Step 4: Simplify right side
    8,016.26x = 33,941,072.82
  5. Step 5: Solve for x
    x = 33,941,072.82/8,016.26
  6. Step 6: Final answer
    x = 4,234.03

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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.