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Finding the Fourth Proportional to 8,091.83, 12,134.31 and 3,413.93

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Solution

The fourth proportional to 8,091.83, 12,134.31 and 3,413.93 is: 5,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.83 : 12,134.31 = 3,413.93 : x
  2. Step 2: Convert to fraction form
    8,091.83/12,134.31 = 3,413.93/x
  3. Step 3: Cross multiply
    8,091.83x = 12,134.31 × 3,413.93
  4. Step 4: Simplify right side
    8,091.83x = 41,425,684.94
  5. Step 5: Solve for x
    x = 41,425,684.94/8,091.83
  6. Step 6: Final answer
    x = 5,119.45

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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.