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Finding the Fourth Proportional to 6,826.86, 10,229.86 and 4,597.44

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Solution

The fourth proportional to 6,826.86, 10,229.86 and 4,597.44 is: 6,889.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.86 : 10,229.86 = 4,597.44 : x
  2. Step 2: Convert to fraction form
    6,826.86/10,229.86 = 4,597.44/x
  3. Step 3: Cross multiply
    6,826.86x = 10,229.86 × 4,597.44
  4. Step 4: Simplify right side
    6,826.86x = 47,031,167.56
  5. Step 5: Solve for x
    x = 47,031,167.56/6,826.86
  6. Step 6: Final answer
    x = 6,889.14

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