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Finding the Fourth Proportional to 10,566.56, 15,847.76 and 4,942.64

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Solution

The fourth proportional to 10,566.56, 15,847.76 and 4,942.64 is: 7,412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.56 : 15,847.76 = 4,942.64 : x
  2. Step 2: Convert to fraction form
    10,566.56/15,847.76 = 4,942.64/x
  3. Step 3: Cross multiply
    10,566.56x = 15,847.76 × 4,942.64
  4. Step 4: Simplify right side
    10,566.56x = 78,329,772.49
  5. Step 5: Solve for x
    x = 78,329,772.49/10,566.56
  6. Step 6: Final answer
    x = 7,412.99

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