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Finding the Fourth Proportional to 11,806.26, 17,675.07 and 6,860.82

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Solution

The fourth proportional to 11,806.26, 17,675.07 and 6,860.82 is: 10,271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.26 : 17,675.07 = 6,860.82 : x
  2. Step 2: Convert to fraction form
    11,806.26/17,675.07 = 6,860.82/x
  3. Step 3: Cross multiply
    11,806.26x = 17,675.07 × 6,860.82
  4. Step 4: Simplify right side
    11,806.26x = 121,265,473.76
  5. Step 5: Solve for x
    x = 121,265,473.76/11,806.26
  6. Step 6: Final answer
    x = 10,271.29

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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.