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Finding the Fourth Proportional to 10,906.08, 16,359.02 and 4,660.78

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Solution

The fourth proportional to 10,906.08, 16,359.02 and 4,660.78 is: 6,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.08 : 16,359.02 = 4,660.78 : x
  2. Step 2: Convert to fraction form
    10,906.08/16,359.02 = 4,660.78/x
  3. Step 3: Cross multiply
    10,906.08x = 16,359.02 × 4,660.78
  4. Step 4: Simplify right side
    10,906.08x = 76,245,793.24
  5. Step 5: Solve for x
    x = 76,245,793.24/10,906.08
  6. Step 6: Final answer
    x = 6,991.13

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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.