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Finding the Fourth Proportional to 8,092.01, 12,115.19 and 4,284.02

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Solution

The fourth proportional to 8,092.01, 12,115.19 and 4,284.02 is: 6,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.01 : 12,115.19 = 4,284.02 : x
  2. Step 2: Convert to fraction form
    8,092.01/12,115.19 = 4,284.02/x
  3. Step 3: Cross multiply
    8,092.01x = 12,115.19 × 4,284.02
  4. Step 4: Simplify right side
    8,092.01x = 51,901,694.84
  5. Step 5: Solve for x
    x = 51,901,694.84/8,092.01
  6. Step 6: Final answer
    x = 6,413.95

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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.