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Finding the Fourth Proportional to 8,413.42, 12,612.92 and 3,730.86

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Solution

The fourth proportional to 8,413.42, 12,612.92 and 3,730.86 is: 5,593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.42 : 12,612.92 = 3,730.86 : x
  2. Step 2: Convert to fraction form
    8,413.42/12,612.92 = 3,730.86/x
  3. Step 3: Cross multiply
    8,413.42x = 12,612.92 × 3,730.86
  4. Step 4: Simplify right side
    8,413.42x = 47,057,020.06
  5. Step 5: Solve for x
    x = 47,057,020.06/8,413.42
  6. Step 6: Final answer
    x = 5,593.09

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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.