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Finding the Fourth Proportional to 27,628.28, 41,435.46 and 7,906.94

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Solution

The fourth proportional to 27,628.28, 41,435.46 and 7,906.94 is: 11,858.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,628.28 : 41,435.46 = 7,906.94 : x
  2. Step 2: Convert to fraction form
    27,628.28/41,435.46 = 7,906.94/x
  3. Step 3: Cross multiply
    27,628.28x = 41,435.46 × 7,906.94
  4. Step 4: Simplify right side
    27,628.28x = 327,627,696.09
  5. Step 5: Solve for x
    x = 327,627,696.09/27,628.28
  6. Step 6: Final answer
    x = 11,858.42

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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.