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Finding the Fourth Proportional to 10,808.34, 16,214.67 and 3,413.49

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Solution

The fourth proportional to 10,808.34, 16,214.67 and 3,413.49 is: 5,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.34 : 16,214.67 = 3,413.49 : x
  2. Step 2: Convert to fraction form
    10,808.34/16,214.67 = 3,413.49/x
  3. Step 3: Cross multiply
    10,808.34x = 16,214.67 × 3,413.49
  4. Step 4: Simplify right side
    10,808.34x = 55,348,613.90
  5. Step 5: Solve for x
    x = 55,348,613.90/10,808.34
  6. Step 6: Final answer
    x = 5,120.92

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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.