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Finding the Fourth Proportional to 8,149.56, 11,232.64 and 6,234.72

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Solution

The fourth proportional to 8,149.56, 11,232.64 and 6,234.72 is: 8,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.56 : 11,232.64 = 6,234.72 : x
  2. Step 2: Convert to fraction form
    8,149.56/11,232.64 = 6,234.72/x
  3. Step 3: Cross multiply
    8,149.56x = 11,232.64 × 6,234.72
  4. Step 4: Simplify right side
    8,149.56x = 70,032,365.26
  5. Step 5: Solve for x
    x = 70,032,365.26/8,149.56
  6. Step 6: Final answer
    x = 8,593.39

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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.