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Finding the Fourth Proportional to 8,129.31, 12,192.71 and 2,581.93

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Solution

The fourth proportional to 8,129.31, 12,192.71 and 2,581.93 is: 3,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.31 : 12,192.71 = 2,581.93 : x
  2. Step 2: Convert to fraction form
    8,129.31/12,192.71 = 2,581.93/x
  3. Step 3: Cross multiply
    8,129.31x = 12,192.71 × 2,581.93
  4. Step 4: Simplify right side
    8,129.31x = 31,480,723.73
  5. Step 5: Solve for x
    x = 31,480,723.73/8,129.31
  6. Step 6: Final answer
    x = 3,872.50

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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.