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Finding the Fourth Proportional to 10,906.53, 16,356.33 and 3,509.27

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Solution

The fourth proportional to 10,906.53, 16,356.33 and 3,509.27 is: 5,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.53 : 16,356.33 = 3,509.27 : x
  2. Step 2: Convert to fraction form
    10,906.53/16,356.33 = 3,509.27/x
  3. Step 3: Cross multiply
    10,906.53x = 16,356.33 × 3,509.27
  4. Step 4: Simplify right side
    10,906.53x = 57,398,778.18
  5. Step 5: Solve for x
    x = 57,398,778.18/10,906.53
  6. Step 6: Final answer
    x = 5,262.79

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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.