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Finding the Fourth Proportional to 10,906.13, 16,359.21 and 3,114.95

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Solution

The fourth proportional to 10,906.13, 16,359.21 and 3,114.95 is: 4,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.13 : 16,359.21 = 3,114.95 : x
  2. Step 2: Convert to fraction form
    10,906.13/16,359.21 = 3,114.95/x
  3. Step 3: Cross multiply
    10,906.13x = 16,359.21 × 3,114.95
  4. Step 4: Simplify right side
    10,906.13x = 50,958,039.39
  5. Step 5: Solve for x
    x = 50,958,039.39/10,906.13
  6. Step 6: Final answer
    x = 4,672.42

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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.