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Finding the Fourth Proportional to 8,446.50, 12,669.24 and 2,523.41

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Solution

The fourth proportional to 8,446.50, 12,669.24 and 2,523.41 is: 3,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.50 : 12,669.24 = 2,523.41 : x
  2. Step 2: Convert to fraction form
    8,446.50/12,669.24 = 2,523.41/x
  3. Step 3: Cross multiply
    8,446.50x = 12,669.24 × 2,523.41
  4. Step 4: Simplify right side
    8,446.50x = 31,969,686.91
  5. Step 5: Solve for x
    x = 31,969,686.91/8,446.50
  6. Step 6: Final answer
    x = 3,784.96

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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.