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Finding the Fourth Proportional to 7,844.80, 10,824.64 and 4,486.40

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Solution

The fourth proportional to 7,844.80, 10,824.64 and 4,486.40 is: 6,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.80 : 10,824.64 = 4,486.40 : x
  2. Step 2: Convert to fraction form
    7,844.80/10,824.64 = 4,486.40/x
  3. Step 3: Cross multiply
    7,844.80x = 10,824.64 × 4,486.40
  4. Step 4: Simplify right side
    7,844.80x = 48,563,664.90
  5. Step 5: Solve for x
    x = 48,563,664.90/7,844.80
  6. Step 6: Final answer
    x = 6,190.55

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