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Finding the Fourth Proportional to 10,849.63, 16,267.14 and 6,174.85

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Solution

The fourth proportional to 10,849.63, 16,267.14 and 6,174.85 is: 9,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.63 : 16,267.14 = 6,174.85 : x
  2. Step 2: Convert to fraction form
    10,849.63/16,267.14 = 6,174.85/x
  3. Step 3: Cross multiply
    10,849.63x = 16,267.14 × 6,174.85
  4. Step 4: Simplify right side
    10,849.63x = 100,447,149.43
  5. Step 5: Solve for x
    x = 100,447,149.43/10,849.63
  6. Step 6: Final answer
    x = 9,258.12

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