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Finding the Fourth Proportional to 8,119.40, 12,170.70 and 4,413.80

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Solution

The fourth proportional to 8,119.40, 12,170.70 and 4,413.80 is: 6,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.40 : 12,170.70 = 4,413.80 : x
  2. Step 2: Convert to fraction form
    8,119.40/12,170.70 = 4,413.80/x
  3. Step 3: Cross multiply
    8,119.40x = 12,170.70 × 4,413.80
  4. Step 4: Simplify right side
    8,119.40x = 53,719,035.66
  5. Step 5: Solve for x
    x = 53,719,035.66/8,119.40
  6. Step 6: Final answer
    x = 6,616.13

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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.