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Finding the Fourth Proportional to 8,279.50, 12,419.28 and 7,864.24

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Solution

The fourth proportional to 8,279.50, 12,419.28 and 7,864.24 is: 11,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.50 : 12,419.28 = 7,864.24 : x
  2. Step 2: Convert to fraction form
    8,279.50/12,419.28 = 7,864.24/x
  3. Step 3: Cross multiply
    8,279.50x = 12,419.28 × 7,864.24
  4. Step 4: Simplify right side
    8,279.50x = 97,668,198.55
  5. Step 5: Solve for x
    x = 97,668,198.55/8,279.50
  6. Step 6: Final answer
    x = 11,796.39

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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.