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Finding the Fourth Proportional to 8,279.50, 12,416.82 and 2,434.72

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Solution

The fourth proportional to 8,279.50, 12,416.82 and 2,434.72 is: 3,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.50 : 12,416.82 = 2,434.72 : x
  2. Step 2: Convert to fraction form
    8,279.50/12,416.82 = 2,434.72/x
  3. Step 3: Cross multiply
    8,279.50x = 12,416.82 × 2,434.72
  4. Step 4: Simplify right side
    8,279.50x = 30,231,479.99
  5. Step 5: Solve for x
    x = 30,231,479.99/8,279.50
  6. Step 6: Final answer
    x = 3,651.37

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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.