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Finding the Fourth Proportional to 8,243.82, 12,351.33 and 6,866.01

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Solution

The fourth proportional to 8,243.82, 12,351.33 and 6,866.01 is: 10,287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.82 : 12,351.33 = 6,866.01 : x
  2. Step 2: Convert to fraction form
    8,243.82/12,351.33 = 6,866.01/x
  3. Step 3: Cross multiply
    8,243.82x = 12,351.33 × 6,866.01
  4. Step 4: Simplify right side
    8,243.82x = 84,804,355.29
  5. Step 5: Solve for x
    x = 84,804,355.29/8,243.82
  6. Step 6: Final answer
    x = 10,287.02

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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.