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Finding the Fourth Proportional to 6,739.66, 10,102.65 and 2,578.60

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Solution

The fourth proportional to 6,739.66, 10,102.65 and 2,578.60 is: 3,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.66 : 10,102.65 = 2,578.60 : x
  2. Step 2: Convert to fraction form
    6,739.66/10,102.65 = 2,578.60/x
  3. Step 3: Cross multiply
    6,739.66x = 10,102.65 × 2,578.60
  4. Step 4: Simplify right side
    6,739.66x = 26,050,693.29
  5. Step 5: Solve for x
    x = 26,050,693.29/6,739.66
  6. Step 6: Final answer
    x = 3,865.28

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