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Finding the Fourth Proportional to 10,906.96, 15,052.23 and 8,213.35

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Solution

The fourth proportional to 10,906.96, 15,052.23 and 8,213.35 is: 11,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.96 : 15,052.23 = 8,213.35 : x
  2. Step 2: Convert to fraction form
    10,906.96/15,052.23 = 8,213.35/x
  3. Step 3: Cross multiply
    10,906.96x = 15,052.23 × 8,213.35
  4. Step 4: Simplify right side
    10,906.96x = 123,629,233.27
  5. Step 5: Solve for x
    x = 123,629,233.27/10,906.96
  6. Step 6: Final answer
    x = 11,334.90

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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.