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Finding the Fourth Proportional to 11,792.34, 17,659.31 and 6,846.98

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Solution

The fourth proportional to 11,792.34, 17,659.31 and 6,846.98 is: 10,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.34 : 17,659.31 = 6,846.98 : x
  2. Step 2: Convert to fraction form
    11,792.34/17,659.31 = 6,846.98/x
  3. Step 3: Cross multiply
    11,792.34x = 17,659.31 × 6,846.98
  4. Step 4: Simplify right side
    11,792.34x = 120,912,819.85
  5. Step 5: Solve for x
    x = 120,912,819.85/11,792.34
  6. Step 6: Final answer
    x = 10,253.51

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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.