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Finding the Fourth Proportional to 8,187.72, 12,280.33 and 2,992.38

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Solution

The fourth proportional to 8,187.72, 12,280.33 and 2,992.38 is: 4,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.72 : 12,280.33 = 2,992.38 : x
  2. Step 2: Convert to fraction form
    8,187.72/12,280.33 = 2,992.38/x
  3. Step 3: Cross multiply
    8,187.72x = 12,280.33 × 2,992.38
  4. Step 4: Simplify right side
    8,187.72x = 36,747,413.89
  5. Step 5: Solve for x
    x = 36,747,413.89/8,187.72
  6. Step 6: Final answer
    x = 4,488.11

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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.