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Finding the Fourth Proportional to 8,179.43, 12,269.21 and 5,259.78

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Solution

The fourth proportional to 8,179.43, 12,269.21 and 5,259.78 is: 7,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.43 : 12,269.21 = 5,259.78 : x
  2. Step 2: Convert to fraction form
    8,179.43/12,269.21 = 5,259.78/x
  3. Step 3: Cross multiply
    8,179.43x = 12,269.21 × 5,259.78
  4. Step 4: Simplify right side
    8,179.43x = 64,533,319.07
  5. Step 5: Solve for x
    x = 64,533,319.07/8,179.43
  6. Step 6: Final answer
    x = 7,889.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.