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Finding the Fourth Proportional to 10,829.58, 16,223.64 and 6,433.68

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Solution

The fourth proportional to 10,829.58, 16,223.64 and 6,433.68 is: 9,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.58 : 16,223.64 = 6,433.68 : x
  2. Step 2: Convert to fraction form
    10,829.58/16,223.64 = 6,433.68/x
  3. Step 3: Cross multiply
    10,829.58x = 16,223.64 × 6,433.68
  4. Step 4: Simplify right side
    10,829.58x = 104,377,708.20
  5. Step 5: Solve for x
    x = 104,377,708.20/10,829.58
  6. Step 6: Final answer
    x = 9,638.20

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