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Finding the Fourth Proportional to 8,257.38, 12,386.30 and 2,413.99

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Solution

The fourth proportional to 8,257.38, 12,386.30 and 2,413.99 is: 3,621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.38 : 12,386.30 = 2,413.99 : x
  2. Step 2: Convert to fraction form
    8,257.38/12,386.30 = 2,413.99/x
  3. Step 3: Cross multiply
    8,257.38x = 12,386.30 × 2,413.99
  4. Step 4: Simplify right side
    8,257.38x = 29,900,404.34
  5. Step 5: Solve for x
    x = 29,900,404.34/8,257.38
  6. Step 6: Final answer
    x = 3,621.05

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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.