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Finding the Fourth Proportional to 10,802.57, 16,193.34 and 6,643.78

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Solution

The fourth proportional to 10,802.57, 16,193.34 and 6,643.78 is: 9,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.57 : 16,193.34 = 6,643.78 : x
  2. Step 2: Convert to fraction form
    10,802.57/16,193.34 = 6,643.78/x
  3. Step 3: Cross multiply
    10,802.57x = 16,193.34 × 6,643.78
  4. Step 4: Simplify right side
    10,802.57x = 107,584,947.94
  5. Step 5: Solve for x
    x = 107,584,947.94/10,802.57
  6. Step 6: Final answer
    x = 9,959.20

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