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Finding the Fourth Proportional to 6,825.74, 10,225.04 and 5,260.30

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Solution

The fourth proportional to 6,825.74, 10,225.04 and 5,260.30 is: 7,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.74 : 10,225.04 = 5,260.30 : x
  2. Step 2: Convert to fraction form
    6,825.74/10,225.04 = 5,260.30/x
  3. Step 3: Cross multiply
    6,825.74x = 10,225.04 × 5,260.30
  4. Step 4: Simplify right side
    6,825.74x = 53,786,700.49
  5. Step 5: Solve for x
    x = 53,786,700.49/6,825.74
  6. Step 6: Final answer
    x = 7,879.98

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