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Finding the Fourth Proportional to 11,712.53, 16,163.21 and 6,676.97

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Solution

The fourth proportional to 11,712.53, 16,163.21 and 6,676.97 is: 9,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.53 : 16,163.21 = 6,676.97 : x
  2. Step 2: Convert to fraction form
    11,712.53/16,163.21 = 6,676.97/x
  3. Step 3: Cross multiply
    11,712.53x = 16,163.21 × 6,676.97
  4. Step 4: Simplify right side
    11,712.53x = 107,921,204.15
  5. Step 5: Solve for x
    x = 107,921,204.15/11,712.53
  6. Step 6: Final answer
    x = 9,214.16

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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.