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Finding the Fourth Proportional to 12,083.21, 16,673.70 and 6,777

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Solution

The fourth proportional to 12,083.21, 16,673.70 and 6,777 is: 9,351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.21 : 16,673.70 = 6,777 : x
  2. Step 2: Convert to fraction form
    12,083.21/16,673.70 = 6,777/x
  3. Step 3: Cross multiply
    12,083.21x = 16,673.70 × 6,777
  4. Step 4: Simplify right side
    12,083.21x = 112,997,664.90
  5. Step 5: Solve for x
    x = 112,997,664.90/12,083.21
  6. Step 6: Final answer
    x = 9,351.63

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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.