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Finding the Fourth Proportional to 10,399.86, 15,605.97 and 3,830.66

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Solution

The fourth proportional to 10,399.86, 15,605.97 and 3,830.66 is: 5,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.86 : 15,605.97 = 3,830.66 : x
  2. Step 2: Convert to fraction form
    10,399.86/15,605.97 = 3,830.66/x
  3. Step 3: Cross multiply
    10,399.86x = 15,605.97 × 3,830.66
  4. Step 4: Simplify right side
    10,399.86x = 59,781,165.04
  5. Step 5: Solve for x
    x = 59,781,165.04/10,399.86
  6. Step 6: Final answer
    x = 5,748.27

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