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Finding the Fourth Proportional to 5,112.63, 7,664.78 and 1,600.83

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Solution

The fourth proportional to 5,112.63, 7,664.78 and 1,600.83 is: 2,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.63 : 7,664.78 = 1,600.83 : x
  2. Step 2: Convert to fraction form
    5,112.63/7,664.78 = 1,600.83/x
  3. Step 3: Cross multiply
    5,112.63x = 7,664.78 × 1,600.83
  4. Step 4: Simplify right side
    5,112.63x = 12,270,013.77
  5. Step 5: Solve for x
    x = 12,270,013.77/5,112.63
  6. Step 6: Final answer
    x = 2,399.94

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