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Finding the Fourth Proportional to 8,413.20, 11,614.43 and 6,520.54

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Solution

The fourth proportional to 8,413.20, 11,614.43 and 6,520.54 is: 9,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.20 : 11,614.43 = 6,520.54 : x
  2. Step 2: Convert to fraction form
    8,413.20/11,614.43 = 6,520.54/x
  3. Step 3: Cross multiply
    8,413.20x = 11,614.43 × 6,520.54
  4. Step 4: Simplify right side
    8,413.20x = 75,732,355.39
  5. Step 5: Solve for x
    x = 75,732,355.39/8,413.20
  6. Step 6: Final answer
    x = 9,001.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.