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Finding the Fourth Proportional to 6,977.91, 10,462.10 and 2,296.20

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Solution

The fourth proportional to 6,977.91, 10,462.10 and 2,296.20 is: 3,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.91 : 10,462.10 = 2,296.20 : x
  2. Step 2: Convert to fraction form
    6,977.91/10,462.10 = 2,296.20/x
  3. Step 3: Cross multiply
    6,977.91x = 10,462.10 × 2,296.20
  4. Step 4: Simplify right side
    6,977.91x = 24,023,074.02
  5. Step 5: Solve for x
    x = 24,023,074.02/6,977.91
  6. Step 6: Final answer
    x = 3,442.73

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