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Finding the Fourth Proportional to 8,256, 12,384 and 5,180.16

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Solution

The fourth proportional to 8,256, 12,384 and 5,180.16 is: 7,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256 : 12,384 = 5,180.16 : x
  2. Step 2: Convert to fraction form
    8,256/12,384 = 5,180.16/x
  3. Step 3: Cross multiply
    8,256x = 12,384 × 5,180.16
  4. Step 4: Simplify right side
    8,256x = 64,151,101.44
  5. Step 5: Solve for x
    x = 64,151,101.44/8,256
  6. Step 6: Final answer
    x = 7,770.24

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