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Finding the Fourth Proportional to 11,702.46, 17,553.82 and 6,769.10

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Solution

The fourth proportional to 11,702.46, 17,553.82 and 6,769.10 is: 10,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.46 : 17,553.82 = 6,769.10 : x
  2. Step 2: Convert to fraction form
    11,702.46/17,553.82 = 6,769.10/x
  3. Step 3: Cross multiply
    11,702.46x = 17,553.82 × 6,769.10
  4. Step 4: Simplify right side
    11,702.46x = 118,823,562.96
  5. Step 5: Solve for x
    x = 118,823,562.96/11,702.46
  6. Step 6: Final answer
    x = 10,153.73

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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.