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Finding the Fourth Proportional to 10,402.20, 15,610.14 and 3,828.47

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Solution

The fourth proportional to 10,402.20, 15,610.14 and 3,828.47 is: 5,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.20 : 15,610.14 = 3,828.47 : x
  2. Step 2: Convert to fraction form
    10,402.20/15,610.14 = 3,828.47/x
  3. Step 3: Cross multiply
    10,402.20x = 15,610.14 × 3,828.47
  4. Step 4: Simplify right side
    10,402.20x = 59,762,874.64
  5. Step 5: Solve for x
    x = 59,762,874.64/10,402.20
  6. Step 6: Final answer
    x = 5,745.21

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