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Finding the Fourth Proportional to 11,702.26, 17,556.46 and 4,206.57

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Solution

The fourth proportional to 11,702.26, 17,556.46 and 4,206.57 is: 6,310.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.26 : 17,556.46 = 4,206.57 : x
  2. Step 2: Convert to fraction form
    11,702.26/17,556.46 = 4,206.57/x
  3. Step 3: Cross multiply
    11,702.26x = 17,556.46 × 4,206.57
  4. Step 4: Simplify right side
    11,702.26x = 73,852,456.91
  5. Step 5: Solve for x
    x = 73,852,456.91/11,702.26
  6. Step 6: Final answer
    x = 6,310.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.