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Finding the Fourth Proportional to 6,831.48, 10,253.64 and 3,546.90

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Solution

The fourth proportional to 6,831.48, 10,253.64 and 3,546.90 is: 5,323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.48 : 10,253.64 = 3,546.90 : x
  2. Step 2: Convert to fraction form
    6,831.48/10,253.64 = 3,546.90/x
  3. Step 3: Cross multiply
    6,831.48x = 10,253.64 × 3,546.90
  4. Step 4: Simplify right side
    6,831.48x = 36,368,635.72
  5. Step 5: Solve for x
    x = 36,368,635.72/6,831.48
  6. Step 6: Final answer
    x = 5,323.68

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