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Finding the Fourth Proportional to 8,064.83, 12,092.08 and 3,129.21

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Solution

The fourth proportional to 8,064.83, 12,092.08 and 3,129.21 is: 4,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.83 : 12,092.08 = 3,129.21 : x
  2. Step 2: Convert to fraction form
    8,064.83/12,092.08 = 3,129.21/x
  3. Step 3: Cross multiply
    8,064.83x = 12,092.08 × 3,129.21
  4. Step 4: Simplify right side
    8,064.83x = 37,838,657.66
  5. Step 5: Solve for x
    x = 37,838,657.66/8,064.83
  6. Step 6: Final answer
    x = 4,691.81

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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.