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Finding the Fourth Proportional to 12,589.83, 17,367.21 and 7,806.78

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Solution

The fourth proportional to 12,589.83, 17,367.21 and 7,806.78 is: 10,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.83 : 17,367.21 = 7,806.78 : x
  2. Step 2: Convert to fraction form
    12,589.83/17,367.21 = 7,806.78/x
  3. Step 3: Cross multiply
    12,589.83x = 17,367.21 × 7,806.78
  4. Step 4: Simplify right side
    12,589.83x = 135,581,987.68
  5. Step 5: Solve for x
    x = 135,581,987.68/12,589.83
  6. Step 6: Final answer
    x = 10,769.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.