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Finding the Fourth Proportional to 8,257.23, 12,387.66 and 2,413.89

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Solution

The fourth proportional to 8,257.23, 12,387.66 and 2,413.89 is: 3,621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.23 : 12,387.66 = 2,413.89 : x
  2. Step 2: Convert to fraction form
    8,257.23/12,387.66 = 2,413.89/x
  3. Step 3: Cross multiply
    8,257.23x = 12,387.66 × 2,413.89
  4. Step 4: Simplify right side
    8,257.23x = 29,902,448.60
  5. Step 5: Solve for x
    x = 29,902,448.60/8,257.23
  6. Step 6: Final answer
    x = 3,621.37

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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.