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Finding the Fourth Proportional to 8,083.67, 12,115.22 and 3,636.58

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Solution

The fourth proportional to 8,083.67, 12,115.22 and 3,636.58 is: 5,450.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.67 : 12,115.22 = 3,636.58 : x
  2. Step 2: Convert to fraction form
    8,083.67/12,115.22 = 3,636.58/x
  3. Step 3: Cross multiply
    8,083.67x = 12,115.22 × 3,636.58
  4. Step 4: Simplify right side
    8,083.67x = 44,057,927.37
  5. Step 5: Solve for x
    x = 44,057,927.37/8,083.67
  6. Step 6: Final answer
    x = 5,450.24

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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.