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Finding the Fourth Proportional to 7,831.57, 11,751.40 and 5,200.89

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Solution

The fourth proportional to 7,831.57, 11,751.40 and 5,200.89 is: 7,804.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.57 : 11,751.40 = 5,200.89 : x
  2. Step 2: Convert to fraction form
    7,831.57/11,751.40 = 5,200.89/x
  3. Step 3: Cross multiply
    7,831.57x = 11,751.40 × 5,200.89
  4. Step 4: Simplify right side
    7,831.57x = 61,117,738.03
  5. Step 5: Solve for x
    x = 61,117,738.03/7,831.57
  6. Step 6: Final answer
    x = 7,804.02

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