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Finding the Fourth Proportional to 8,093.69, 12,145.23 and 3,413.40

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Solution

The fourth proportional to 8,093.69, 12,145.23 and 3,413.40 is: 5,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.69 : 12,145.23 = 3,413.40 : x
  2. Step 2: Convert to fraction form
    8,093.69/12,145.23 = 3,413.40/x
  3. Step 3: Cross multiply
    8,093.69x = 12,145.23 × 3,413.40
  4. Step 4: Simplify right side
    8,093.69x = 41,456,528.08
  5. Step 5: Solve for x
    x = 41,456,528.08/8,093.69
  6. Step 6: Final answer
    x = 5,122.08

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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.