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Finding the Fourth Proportional to 8,091.63, 12,136.42 and 3,413.50

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Solution

The fourth proportional to 8,091.63, 12,136.42 and 3,413.50 is: 5,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.63 : 12,136.42 = 3,413.50 : x
  2. Step 2: Convert to fraction form
    8,091.63/12,136.42 = 3,413.50/x
  3. Step 3: Cross multiply
    8,091.63x = 12,136.42 × 3,413.50
  4. Step 4: Simplify right side
    8,091.63x = 41,427,624.39
  5. Step 5: Solve for x
    x = 41,427,624.39/8,091.63
  6. Step 6: Final answer
    x = 5,119.81

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Why These Related Problems?

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