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Finding the Fourth Proportional to 8,279, 12,419.22 and 2,123

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Solution

The fourth proportional to 8,279, 12,419.22 and 2,123 is: 3,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279 : 12,419.22 = 2,123 : x
  2. Step 2: Convert to fraction form
    8,279/12,419.22 = 2,123/x
  3. Step 3: Cross multiply
    8,279x = 12,419.22 × 2,123
  4. Step 4: Simplify right side
    8,279x = 26,366,004.06
  5. Step 5: Solve for x
    x = 26,366,004.06/8,279
  6. Step 6: Final answer
    x = 3,184.68

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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.