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Finding the Fourth Proportional to 8,221.08, 11,344.01 and 4,636.23

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Solution

The fourth proportional to 8,221.08, 11,344.01 and 4,636.23 is: 6,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.08 : 11,344.01 = 4,636.23 : x
  2. Step 2: Convert to fraction form
    8,221.08/11,344.01 = 4,636.23/x
  3. Step 3: Cross multiply
    8,221.08x = 11,344.01 × 4,636.23
  4. Step 4: Simplify right side
    8,221.08x = 52,593,439.48
  5. Step 5: Solve for x
    x = 52,593,439.48/8,221.08
  6. Step 6: Final answer
    x = 6,397.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.