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Finding the Fourth Proportional to 6,829.70, 10,228.35 and 4,205.30

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Solution

The fourth proportional to 6,829.70, 10,228.35 and 4,205.30 is: 6,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.70 : 10,228.35 = 4,205.30 : x
  2. Step 2: Convert to fraction form
    6,829.70/10,228.35 = 4,205.30/x
  3. Step 3: Cross multiply
    6,829.70x = 10,228.35 × 4,205.30
  4. Step 4: Simplify right side
    6,829.70x = 43,013,280.26
  5. Step 5: Solve for x
    x = 43,013,280.26/6,829.70
  6. Step 6: Final answer
    x = 6,297.98

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