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Finding the Fourth Proportional to 7,857.10, 11,766.21 and 4,560.20

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Solution

The fourth proportional to 7,857.10, 11,766.21 and 4,560.20 is: 6,829.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.10 : 11,766.21 = 4,560.20 : x
  2. Step 2: Convert to fraction form
    7,857.10/11,766.21 = 4,560.20/x
  3. Step 3: Cross multiply
    7,857.10x = 11,766.21 × 4,560.20
  4. Step 4: Simplify right side
    7,857.10x = 53,656,264.68
  5. Step 5: Solve for x
    x = 53,656,264.68/7,857.10
  6. Step 6: Final answer
    x = 6,829.02

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