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Finding the Fourth Proportional to 7,826.48, 11,747.44 and 5,320

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Solution

The fourth proportional to 7,826.48, 11,747.44 and 5,320 is: 7,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.48 : 11,747.44 = 5,320 : x
  2. Step 2: Convert to fraction form
    7,826.48/11,747.44 = 5,320/x
  3. Step 3: Cross multiply
    7,826.48x = 11,747.44 × 5,320
  4. Step 4: Simplify right side
    7,826.48x = 62,496,380.80
  5. Step 5: Solve for x
    x = 62,496,380.80/7,826.48
  6. Step 6: Final answer
    x = 7,985.25

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