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Finding the Fourth Proportional to 27,697.77, 41,546.70 and 6,921.27

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Solution

The fourth proportional to 27,697.77, 41,546.70 and 6,921.27 is: 10,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.77 : 41,546.70 = 6,921.27 : x
  2. Step 2: Convert to fraction form
    27,697.77/41,546.70 = 6,921.27/x
  3. Step 3: Cross multiply
    27,697.77x = 41,546.70 × 6,921.27
  4. Step 4: Simplify right side
    27,697.77x = 287,555,928.31
  5. Step 5: Solve for x
    x = 287,555,928.31/27,697.77
  6. Step 6: Final answer
    x = 10,381.92

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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.