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Finding the Fourth Proportional to 8,202.33, 12,284.82 and 6,726.06

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Solution

The fourth proportional to 8,202.33, 12,284.82 and 6,726.06 is: 10,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.33 : 12,284.82 = 6,726.06 : x
  2. Step 2: Convert to fraction form
    8,202.33/12,284.82 = 6,726.06/x
  3. Step 3: Cross multiply
    8,202.33x = 12,284.82 × 6,726.06
  4. Step 4: Simplify right side
    8,202.33x = 82,628,436.41
  5. Step 5: Solve for x
    x = 82,628,436.41/8,202.33
  6. Step 6: Final answer
    x = 10,073.78

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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.