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Finding the Fourth Proportional to 7,846.60, 11,769.74 and 3,166.48

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Solution

The fourth proportional to 7,846.60, 11,769.74 and 3,166.48 is: 4,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.60 : 11,769.74 = 3,166.48 : x
  2. Step 2: Convert to fraction form
    7,846.60/11,769.74 = 3,166.48/x
  3. Step 3: Cross multiply
    7,846.60x = 11,769.74 × 3,166.48
  4. Step 4: Simplify right side
    7,846.60x = 37,268,646.32
  5. Step 5: Solve for x
    x = 37,268,646.32/7,846.60
  6. Step 6: Final answer
    x = 4,749.66

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