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Finding the Fourth Proportional to 6,511.76, 9,768.30 and 1,831.78

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Solution

The fourth proportional to 6,511.76, 9,768.30 and 1,831.78 is: 2,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.76 : 9,768.30 = 1,831.78 : x
  2. Step 2: Convert to fraction form
    6,511.76/9,768.30 = 1,831.78/x
  3. Step 3: Cross multiply
    6,511.76x = 9,768.30 × 1,831.78
  4. Step 4: Simplify right side
    6,511.76x = 17,893,376.57
  5. Step 5: Solve for x
    x = 17,893,376.57/6,511.76
  6. Step 6: Final answer
    x = 2,747.86

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