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Finding the Fourth Proportional to 7,776.86, 11,664.81 and 3,159.74

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Solution

The fourth proportional to 7,776.86, 11,664.81 and 3,159.74 is: 4,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.86 : 11,664.81 = 3,159.74 : x
  2. Step 2: Convert to fraction form
    7,776.86/11,664.81 = 3,159.74/x
  3. Step 3: Cross multiply
    7,776.86x = 11,664.81 × 3,159.74
  4. Step 4: Simplify right side
    7,776.86x = 36,857,766.75
  5. Step 5: Solve for x
    x = 36,857,766.75/7,776.86
  6. Step 6: Final answer
    x = 4,739.41

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