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Finding the Fourth Proportional to 10,969.82, 16,438.25 and 7,649.22

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Solution

The fourth proportional to 10,969.82, 16,438.25 and 7,649.22 is: 11,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.82 : 16,438.25 = 7,649.22 : x
  2. Step 2: Convert to fraction form
    10,969.82/16,438.25 = 7,649.22/x
  3. Step 3: Cross multiply
    10,969.82x = 16,438.25 × 7,649.22
  4. Step 4: Simplify right side
    10,969.82x = 125,739,790.67
  5. Step 5: Solve for x
    x = 125,739,790.67/10,969.82
  6. Step 6: Final answer
    x = 11,462.34

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