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Finding the Fourth Proportional to 8,413.74, 12,620.61 and 8,401.59

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Solution

The fourth proportional to 8,413.74, 12,620.61 and 8,401.59 is: 12,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.74 : 12,620.61 = 8,401.59 : x
  2. Step 2: Convert to fraction form
    8,413.74/12,620.61 = 8,401.59/x
  3. Step 3: Cross multiply
    8,413.74x = 12,620.61 × 8,401.59
  4. Step 4: Simplify right side
    8,413.74x = 106,033,190.77
  5. Step 5: Solve for x
    x = 106,033,190.77/8,413.74
  6. Step 6: Final answer
    x = 12,602.39

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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.