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Finding the Fourth Proportional to 8,119.08, 12,177 and 2,275.74

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Solution

The fourth proportional to 8,119.08, 12,177 and 2,275.74 is: 3,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.08 : 12,177 = 2,275.74 : x
  2. Step 2: Convert to fraction form
    8,119.08/12,177 = 2,275.74/x
  3. Step 3: Cross multiply
    8,119.08x = 12,177 × 2,275.74
  4. Step 4: Simplify right side
    8,119.08x = 27,711,685.98
  5. Step 5: Solve for x
    x = 27,711,685.98/8,119.08
  6. Step 6: Final answer
    x = 3,413.16

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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.