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Finding the Fourth Proportional to 6,857.78, 10,289.40 and 4,085.76

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Solution

The fourth proportional to 6,857.78, 10,289.40 and 4,085.76 is: 6,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.78 : 10,289.40 = 4,085.76 : x
  2. Step 2: Convert to fraction form
    6,857.78/10,289.40 = 4,085.76/x
  3. Step 3: Cross multiply
    6,857.78x = 10,289.40 × 4,085.76
  4. Step 4: Simplify right side
    6,857.78x = 42,040,018.94
  5. Step 5: Solve for x
    x = 42,040,018.94/6,857.78
  6. Step 6: Final answer
    x = 6,130.27

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