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Finding the Fourth Proportional to 8,453.20, 12,684.92 and 3,836.24

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Solution

The fourth proportional to 8,453.20, 12,684.92 and 3,836.24 is: 5,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.20 : 12,684.92 = 3,836.24 : x
  2. Step 2: Convert to fraction form
    8,453.20/12,684.92 = 3,836.24/x
  3. Step 3: Cross multiply
    8,453.20x = 12,684.92 × 3,836.24
  4. Step 4: Simplify right side
    8,453.20x = 48,662,397.50
  5. Step 5: Solve for x
    x = 48,662,397.50/8,453.20
  6. Step 6: Final answer
    x = 5,756.68

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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.