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Finding the Fourth Proportional to 10,566.85, 15,838.83 and 6,871.73

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Solution

The fourth proportional to 10,566.85, 15,838.83 and 6,871.73 is: 10,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.85 : 15,838.83 = 6,871.73 : x
  2. Step 2: Convert to fraction form
    10,566.85/15,838.83 = 6,871.73/x
  3. Step 3: Cross multiply
    10,566.85x = 15,838.83 × 6,871.73
  4. Step 4: Simplify right side
    10,566.85x = 108,840,208.84
  5. Step 5: Solve for x
    x = 108,840,208.84/10,566.85
  6. Step 6: Final answer
    x = 10,300.16

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