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Finding the Fourth Proportional to 8,275.50, 12,413.86 and 3,081.38

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Solution

The fourth proportional to 8,275.50, 12,413.86 and 3,081.38 is: 4,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.50 : 12,413.86 = 3,081.38 : x
  2. Step 2: Convert to fraction form
    8,275.50/12,413.86 = 3,081.38/x
  3. Step 3: Cross multiply
    8,275.50x = 12,413.86 × 3,081.38
  4. Step 4: Simplify right side
    8,275.50x = 38,251,750.15
  5. Step 5: Solve for x
    x = 38,251,750.15/8,275.50
  6. Step 6: Final answer
    x = 4,622.29

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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.