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Finding the Fourth Proportional to 12,083.26, 16,673.78 and 6,777.04

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Solution

The fourth proportional to 12,083.26, 16,673.78 and 6,777.04 is: 9,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.26 : 16,673.78 = 6,777.04 : x
  2. Step 2: Convert to fraction form
    12,083.26/16,673.78 = 6,777.04/x
  3. Step 3: Cross multiply
    12,083.26x = 16,673.78 × 6,777.04
  4. Step 4: Simplify right side
    12,083.26x = 112,998,874.01
  5. Step 5: Solve for x
    x = 112,998,874.01/12,083.26
  6. Step 6: Final answer
    x = 9,351.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.