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Finding the Fourth Proportional to 10,906.12, 16,378.56 and 8,935.48

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Solution

The fourth proportional to 10,906.12, 16,378.56 and 8,935.48 is: 13,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.12 : 16,378.56 = 8,935.48 : x
  2. Step 2: Convert to fraction form
    10,906.12/16,378.56 = 8,935.48/x
  3. Step 3: Cross multiply
    10,906.12x = 16,378.56 × 8,935.48
  4. Step 4: Simplify right side
    10,906.12x = 146,350,295.31
  5. Step 5: Solve for x
    x = 146,350,295.31/10,906.12
  6. Step 6: Final answer
    x = 13,419.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.