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Finding the Fourth Proportional to 8,097.63, 12,119.00 and 4,979.61

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Solution

The fourth proportional to 8,097.63, 12,119.00 and 4,979.61 is: 7,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.63 : 12,119.00 = 4,979.61 : x
  2. Step 2: Convert to fraction form
    8,097.63/12,119.00 = 4,979.61/x
  3. Step 3: Cross multiply
    8,097.63x = 12,119.00 × 4,979.61
  4. Step 4: Simplify right side
    8,097.63x = 60,347,845.44
  5. Step 5: Solve for x
    x = 60,347,845.44/8,097.63
  6. Step 6: Final answer
    x = 7,452.54

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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.