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Finding the Fourth Proportional to 7,944.64, 11,899.68 and 3,832

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Solution

The fourth proportional to 7,944.64, 11,899.68 and 3,832 is: 5,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.64 : 11,899.68 = 3,832 : x
  2. Step 2: Convert to fraction form
    7,944.64/11,899.68 = 3,832/x
  3. Step 3: Cross multiply
    7,944.64x = 11,899.68 × 3,832
  4. Step 4: Simplify right side
    7,944.64x = 45,599,573.76
  5. Step 5: Solve for x
    x = 45,599,573.76/7,944.64
  6. Step 6: Final answer
    x = 5,739.67

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