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Finding the Fourth Proportional to 8,257.98, 12,385.62 and 2,413.23

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Solution

The fourth proportional to 8,257.98, 12,385.62 and 2,413.23 is: 3,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.98 : 12,385.62 = 2,413.23 : x
  2. Step 2: Convert to fraction form
    8,257.98/12,385.62 = 2,413.23/x
  3. Step 3: Cross multiply
    8,257.98x = 12,385.62 × 2,413.23
  4. Step 4: Simplify right side
    8,257.98x = 29,889,349.75
  5. Step 5: Solve for x
    x = 29,889,349.75/8,257.98
  6. Step 6: Final answer
    x = 3,619.45

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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.