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Finding the Fourth Proportional to 8,097.88, 12,119.38 and 4,979.86

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Solution

The fourth proportional to 8,097.88, 12,119.38 and 4,979.86 is: 7,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.88 : 12,119.38 = 4,979.86 : x
  2. Step 2: Convert to fraction form
    8,097.88/12,119.38 = 4,979.86/x
  3. Step 3: Cross multiply
    8,097.88x = 12,119.38 × 4,979.86
  4. Step 4: Simplify right side
    8,097.88x = 60,352,730.19
  5. Step 5: Solve for x
    x = 60,352,730.19/8,097.88
  6. Step 6: Final answer
    x = 7,452.91

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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.