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Finding the Fourth Proportional to 11,906.96, 16,428.84 and 8,186

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Solution

The fourth proportional to 11,906.96, 16,428.84 and 8,186 is: 11,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.96 : 16,428.84 = 8,186 : x
  2. Step 2: Convert to fraction form
    11,906.96/16,428.84 = 8,186/x
  3. Step 3: Cross multiply
    11,906.96x = 16,428.84 × 8,186
  4. Step 4: Simplify right side
    11,906.96x = 134,486,484.24
  5. Step 5: Solve for x
    x = 134,486,484.24/11,906.96
  6. Step 6: Final answer
    x = 11,294.78

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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.