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Finding the Fourth Proportional to 8,296.54, 12,446.70 and 2,452.93

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Solution

The fourth proportional to 8,296.54, 12,446.70 and 2,452.93 is: 3,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.54 : 12,446.70 = 2,452.93 : x
  2. Step 2: Convert to fraction form
    8,296.54/12,446.70 = 2,452.93/x
  3. Step 3: Cross multiply
    8,296.54x = 12,446.70 × 2,452.93
  4. Step 4: Simplify right side
    8,296.54x = 30,530,883.83
  5. Step 5: Solve for x
    x = 30,530,883.83/8,296.54
  6. Step 6: Final answer
    x = 3,679.95

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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.