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Finding the Fourth Proportional to 8,413.63, 12,620.46 and 8,401.48

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Solution

The fourth proportional to 8,413.63, 12,620.46 and 8,401.48 is: 12,602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.63 : 12,620.46 = 8,401.48 : x
  2. Step 2: Convert to fraction form
    8,413.63/12,620.46 = 8,401.48/x
  3. Step 3: Cross multiply
    8,413.63x = 12,620.46 × 8,401.48
  4. Step 4: Simplify right side
    8,413.63x = 106,030,542.28
  5. Step 5: Solve for x
    x = 106,030,542.28/8,413.63
  6. Step 6: Final answer
    x = 12,602.23

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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.