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Finding the Fourth Proportional to 8,279.88, 12,427.10 and 6,982.24

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Solution

The fourth proportional to 8,279.88, 12,427.10 and 6,982.24 is: 10,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.88 : 12,427.10 = 6,982.24 : x
  2. Step 2: Convert to fraction form
    8,279.88/12,427.10 = 6,982.24/x
  3. Step 3: Cross multiply
    8,279.88x = 12,427.10 × 6,982.24
  4. Step 4: Simplify right side
    8,279.88x = 86,768,994.70
  5. Step 5: Solve for x
    x = 86,768,994.70/8,279.88
  6. Step 6: Final answer
    x = 10,479.50

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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.