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Finding the Fourth Proportional to 8,413.68, 12,616.83 and 2,568.90

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Solution

The fourth proportional to 8,413.68, 12,616.83 and 2,568.90 is: 3,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.68 : 12,616.83 = 2,568.90 : x
  2. Step 2: Convert to fraction form
    8,413.68/12,616.83 = 2,568.90/x
  3. Step 3: Cross multiply
    8,413.68x = 12,616.83 × 2,568.90
  4. Step 4: Simplify right side
    8,413.68x = 32,411,374.59
  5. Step 5: Solve for x
    x = 32,411,374.59/8,413.68
  6. Step 6: Final answer
    x = 3,852.22

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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.