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Finding the Fourth Proportional to 11,702.76, 17,543.04 and 3,906.04

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Solution

The fourth proportional to 11,702.76, 17,543.04 and 3,906.04 is: 5,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.76 : 17,543.04 = 3,906.04 : x
  2. Step 2: Convert to fraction form
    11,702.76/17,543.04 = 3,906.04/x
  3. Step 3: Cross multiply
    11,702.76x = 17,543.04 × 3,906.04
  4. Step 4: Simplify right side
    11,702.76x = 68,523,815.96
  5. Step 5: Solve for x
    x = 68,523,815.96/11,702.76
  6. Step 6: Final answer
    x = 5,855.36

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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.