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Finding the Fourth Proportional to 7,786.68, 11,675.70 and 3,106.32

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Solution

The fourth proportional to 7,786.68, 11,675.70 and 3,106.32 is: 4,657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.68 : 11,675.70 = 3,106.32 : x
  2. Step 2: Convert to fraction form
    7,786.68/11,675.70 = 3,106.32/x
  3. Step 3: Cross multiply
    7,786.68x = 11,675.70 × 3,106.32
  4. Step 4: Simplify right side
    7,786.68x = 36,268,460.42
  5. Step 5: Solve for x
    x = 36,268,460.42/7,786.68
  6. Step 6: Final answer
    x = 4,657.76

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