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Finding the Fourth Proportional to 6,857.02, 10,256.23 and 5,724.40

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Solution

The fourth proportional to 6,857.02, 10,256.23 and 5,724.40 is: 8,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.02 : 10,256.23 = 5,724.40 : x
  2. Step 2: Convert to fraction form
    6,857.02/10,256.23 = 5,724.40/x
  3. Step 3: Cross multiply
    6,857.02x = 10,256.23 × 5,724.40
  4. Step 4: Simplify right side
    6,857.02x = 58,710,763.01
  5. Step 5: Solve for x
    x = 58,710,763.01/6,857.02
  6. Step 6: Final answer
    x = 8,562.14

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