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Finding the Fourth Proportional to 10,399.75, 15,590.26 and 3,824.53

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Solution

The fourth proportional to 10,399.75, 15,590.26 and 3,824.53 is: 5,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.75 : 15,590.26 = 3,824.53 : x
  2. Step 2: Convert to fraction form
    10,399.75/15,590.26 = 3,824.53/x
  3. Step 3: Cross multiply
    10,399.75x = 15,590.26 × 3,824.53
  4. Step 4: Simplify right side
    10,399.75x = 59,625,417.08
  5. Step 5: Solve for x
    x = 59,625,417.08/10,399.75
  6. Step 6: Final answer
    x = 5,733.35

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