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Finding the Fourth Proportional to 10,077.85, 13,906.37 and 5,600.89

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Solution

The fourth proportional to 10,077.85, 13,906.37 and 5,600.89 is: 7,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.85 : 13,906.37 = 5,600.89 : x
  2. Step 2: Convert to fraction form
    10,077.85/13,906.37 = 5,600.89/x
  3. Step 3: Cross multiply
    10,077.85x = 13,906.37 × 5,600.89
  4. Step 4: Simplify right side
    10,077.85x = 77,888,027.91
  5. Step 5: Solve for x
    x = 77,888,027.91/10,077.85
  6. Step 6: Final answer
    x = 7,728.64

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