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Finding the Fourth Proportional to 12,083.33, 16,675.83 and 6,778.49

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Solution

The fourth proportional to 12,083.33, 16,675.83 and 6,778.49 is: 9,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.33 : 16,675.83 = 6,778.49 : x
  2. Step 2: Convert to fraction form
    12,083.33/16,675.83 = 6,778.49/x
  3. Step 3: Cross multiply
    12,083.33x = 16,675.83 × 6,778.49
  4. Step 4: Simplify right side
    12,083.33x = 113,036,946.90
  5. Step 5: Solve for x
    x = 113,036,946.90/12,083.33
  6. Step 6: Final answer
    x = 9,354.78

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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.