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Finding the Fourth Proportional to 7,844.56, 11,770.88 and 5,213.86

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Solution

The fourth proportional to 7,844.56, 11,770.88 and 5,213.86 is: 7,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.56 : 11,770.88 = 5,213.86 : x
  2. Step 2: Convert to fraction form
    7,844.56/11,770.88 = 5,213.86/x
  3. Step 3: Cross multiply
    7,844.56x = 11,770.88 × 5,213.86
  4. Step 4: Simplify right side
    7,844.56x = 61,371,720.40
  5. Step 5: Solve for x
    x = 61,371,720.40/7,844.56
  6. Step 6: Final answer
    x = 7,823.48

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