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Finding the Fourth Proportional to 7,842.40, 10,826.64 and 4,856.80

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Solution

The fourth proportional to 7,842.40, 10,826.64 and 4,856.80 is: 6,704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.40 : 10,826.64 = 4,856.80 : x
  2. Step 2: Convert to fraction form
    7,842.40/10,826.64 = 4,856.80/x
  3. Step 3: Cross multiply
    7,842.40x = 10,826.64 × 4,856.80
  4. Step 4: Simplify right side
    7,842.40x = 52,582,825.15
  5. Step 5: Solve for x
    x = 52,582,825.15/7,842.40
  6. Step 6: Final answer
    x = 6,704.94

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