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Finding the Fourth Proportional to 10,226.40, 15,328.80 and 5,834.40

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Solution

The fourth proportional to 10,226.40, 15,328.80 and 5,834.40 is: 8,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.40 : 15,328.80 = 5,834.40 : x
  2. Step 2: Convert to fraction form
    10,226.40/15,328.80 = 5,834.40/x
  3. Step 3: Cross multiply
    10,226.40x = 15,328.80 × 5,834.40
  4. Step 4: Simplify right side
    10,226.40x = 89,434,350.72
  5. Step 5: Solve for x
    x = 89,434,350.72/10,226.40
  6. Step 6: Final answer
    x = 8,745.44

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