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Finding the Fourth Proportional to 10,964.97, 16,430.04 and 7,829.46

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Solution

The fourth proportional to 10,964.97, 16,430.04 and 7,829.46 is: 11,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.97 : 16,430.04 = 7,829.46 : x
  2. Step 2: Convert to fraction form
    10,964.97/16,430.04 = 7,829.46/x
  3. Step 3: Cross multiply
    10,964.97x = 16,430.04 × 7,829.46
  4. Step 4: Simplify right side
    10,964.97x = 128,638,340.98
  5. Step 5: Solve for x
    x = 128,638,340.98/10,964.97
  6. Step 6: Final answer
    x = 11,731.75

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