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Finding the Fourth Proportional to 10,566.62, 15,852.56 and 3,171.22

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Solution

The fourth proportional to 10,566.62, 15,852.56 and 3,171.22 is: 4,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.62 : 15,852.56 = 3,171.22 : x
  2. Step 2: Convert to fraction form
    10,566.62/15,852.56 = 3,171.22/x
  3. Step 3: Cross multiply
    10,566.62x = 15,852.56 × 3,171.22
  4. Step 4: Simplify right side
    10,566.62x = 50,271,955.32
  5. Step 5: Solve for x
    x = 50,271,955.32/10,566.62
  6. Step 6: Final answer
    x = 4,757.62

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