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Finding the Fourth Proportional to 7,832.88, 11,749.30 and 1,909.70

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Solution

The fourth proportional to 7,832.88, 11,749.30 and 1,909.70 is: 2,864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.88 : 11,749.30 = 1,909.70 : x
  2. Step 2: Convert to fraction form
    7,832.88/11,749.30 = 1,909.70/x
  3. Step 3: Cross multiply
    7,832.88x = 11,749.30 × 1,909.70
  4. Step 4: Simplify right side
    7,832.88x = 22,437,628.66
  5. Step 5: Solve for x
    x = 22,437,628.66/7,832.88
  6. Step 6: Final answer
    x = 2,864.54

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