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Finding the Fourth Proportional to 8,279.70, 12,419.54 and 2,039.82

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Solution

The fourth proportional to 8,279.70, 12,419.54 and 2,039.82 is: 3,059.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.70 : 12,419.54 = 2,039.82 : x
  2. Step 2: Convert to fraction form
    8,279.70/12,419.54 = 2,039.82/x
  3. Step 3: Cross multiply
    8,279.70x = 12,419.54 × 2,039.82
  4. Step 4: Simplify right side
    8,279.70x = 25,333,615.88
  5. Step 5: Solve for x
    x = 25,333,615.88/8,279.70
  6. Step 6: Final answer
    x = 3,059.73

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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.