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Finding the Fourth Proportional to 10,808.72, 16,212.24 and 3,413.40

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Solution

The fourth proportional to 10,808.72, 16,212.24 and 3,413.40 is: 5,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.72 : 16,212.24 = 3,413.40 : x
  2. Step 2: Convert to fraction form
    10,808.72/16,212.24 = 3,413.40/x
  3. Step 3: Cross multiply
    10,808.72x = 16,212.24 × 3,413.40
  4. Step 4: Simplify right side
    10,808.72x = 55,338,860.02
  5. Step 5: Solve for x
    x = 55,338,860.02/10,808.72
  6. Step 6: Final answer
    x = 5,119.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.