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Finding the Fourth Proportional to 11,712.73, 16,163.42 and 6,676.93

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Solution

The fourth proportional to 11,712.73, 16,163.42 and 6,676.93 is: 9,214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.73 : 16,163.42 = 6,676.93 : x
  2. Step 2: Convert to fraction form
    11,712.73/16,163.42 = 6,676.93/x
  3. Step 3: Cross multiply
    11,712.73x = 16,163.42 × 6,676.93
  4. Step 4: Simplify right side
    11,712.73x = 107,922,023.90
  5. Step 5: Solve for x
    x = 107,922,023.90/11,712.73
  6. Step 6: Final answer
    x = 9,214.08

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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.