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Finding the Fourth Proportional to 7,842.28, 10,823.88 and 4,859.44

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Solution

The fourth proportional to 7,842.28, 10,823.88 and 4,859.44 is: 6,706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.28 : 10,823.88 = 4,859.44 : x
  2. Step 2: Convert to fraction form
    7,842.28/10,823.88 = 4,859.44/x
  3. Step 3: Cross multiply
    7,842.28x = 10,823.88 × 4,859.44
  4. Step 4: Simplify right side
    7,842.28x = 52,597,995.43
  5. Step 5: Solve for x
    x = 52,597,995.43/7,842.28
  6. Step 6: Final answer
    x = 6,706.98

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