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Finding the Fourth Proportional to 8,095.46, 12,133.46 and 3,413.66

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Solution

The fourth proportional to 8,095.46, 12,133.46 and 3,413.66 is: 5,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.46 : 12,133.46 = 3,413.66 : x
  2. Step 2: Convert to fraction form
    8,095.46/12,133.46 = 3,413.66/x
  3. Step 3: Cross multiply
    8,095.46x = 12,133.46 × 3,413.66
  4. Step 4: Simplify right side
    8,095.46x = 41,419,507.06
  5. Step 5: Solve for x
    x = 41,419,507.06/8,095.46
  6. Step 6: Final answer
    x = 5,116.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.