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Finding the Fourth Proportional to 27,947.60, 41,921.37 and 7,171.10

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Solution

The fourth proportional to 27,947.60, 41,921.37 and 7,171.10 is: 10,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,947.60 : 41,921.37 = 7,171.10 : x
  2. Step 2: Convert to fraction form
    27,947.60/41,921.37 = 7,171.10/x
  3. Step 3: Cross multiply
    27,947.60x = 41,921.37 × 7,171.10
  4. Step 4: Simplify right side
    27,947.60x = 300,622,336.41
  5. Step 5: Solve for x
    x = 300,622,336.41/27,947.60
  6. Step 6: Final answer
    x = 10,756.64

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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.