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Finding the Fourth Proportional to 8,165.27, 12,255.02 and 4,662.29

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Solution

The fourth proportional to 8,165.27, 12,255.02 and 4,662.29 is: 6,997.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.27 : 12,255.02 = 4,662.29 : x
  2. Step 2: Convert to fraction form
    8,165.27/12,255.02 = 4,662.29/x
  3. Step 3: Cross multiply
    8,165.27x = 12,255.02 × 4,662.29
  4. Step 4: Simplify right side
    8,165.27x = 57,136,433.88
  5. Step 5: Solve for x
    x = 57,136,433.88/8,165.27
  6. Step 6: Final answer
    x = 6,997.49

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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.