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Finding the Fourth Proportional to 11,806.26, 17,702.58 and 7,067.16

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Solution

The fourth proportional to 11,806.26, 17,702.58 and 7,067.16 is: 10,596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.26 : 17,702.58 = 7,067.16 : x
  2. Step 2: Convert to fraction form
    11,806.26/17,702.58 = 7,067.16/x
  3. Step 3: Cross multiply
    11,806.26x = 17,702.58 × 7,067.16
  4. Step 4: Simplify right side
    11,806.26x = 125,106,965.27
  5. Step 5: Solve for x
    x = 125,106,965.27/11,806.26
  6. Step 6: Final answer
    x = 10,596.66

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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.