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Finding the Fourth Proportional to 6,922.88, 10,384.40 and 5,469.76

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Solution

The fourth proportional to 6,922.88, 10,384.40 and 5,469.76 is: 8,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.88 : 10,384.40 = 5,469.76 : x
  2. Step 2: Convert to fraction form
    6,922.88/10,384.40 = 5,469.76/x
  3. Step 3: Cross multiply
    6,922.88x = 10,384.40 × 5,469.76
  4. Step 4: Simplify right side
    6,922.88x = 56,800,175.74
  5. Step 5: Solve for x
    x = 56,800,175.74/6,922.88
  6. Step 6: Final answer
    x = 8,204.70

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