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Finding the Fourth Proportional to 8,239.25, 12,363.60 and 8,172.38

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Solution

The fourth proportional to 8,239.25, 12,363.60 and 8,172.38 is: 12,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.25 : 12,363.60 = 8,172.38 : x
  2. Step 2: Convert to fraction form
    8,239.25/12,363.60 = 8,172.38/x
  3. Step 3: Cross multiply
    8,239.25x = 12,363.60 × 8,172.38
  4. Step 4: Simplify right side
    8,239.25x = 101,040,037.37
  5. Step 5: Solve for x
    x = 101,040,037.37/8,239.25
  6. Step 6: Final answer
    x = 12,263.26

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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.