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Finding the Fourth Proportional to 8,141.74, 12,213.50 and 2,593.79

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Solution

The fourth proportional to 8,141.74, 12,213.50 and 2,593.79 is: 3,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.74 : 12,213.50 = 2,593.79 : x
  2. Step 2: Convert to fraction form
    8,141.74/12,213.50 = 2,593.79/x
  3. Step 3: Cross multiply
    8,141.74x = 12,213.50 × 2,593.79
  4. Step 4: Simplify right side
    8,141.74x = 31,679,225.93
  5. Step 5: Solve for x
    x = 31,679,225.93/8,141.74
  6. Step 6: Final answer
    x = 3,890.97

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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.