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Finding the Fourth Proportional to 10,413.62, 15,609.90 and 3,835.20

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Solution

The fourth proportional to 10,413.62, 15,609.90 and 3,835.20 is: 5,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.62 : 15,609.90 = 3,835.20 : x
  2. Step 2: Convert to fraction form
    10,413.62/15,609.90 = 3,835.20/x
  3. Step 3: Cross multiply
    10,413.62x = 15,609.90 × 3,835.20
  4. Step 4: Simplify right side
    10,413.62x = 59,867,088.48
  5. Step 5: Solve for x
    x = 59,867,088.48/10,413.62
  6. Step 6: Final answer
    x = 5,748.92

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