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Finding the Fourth Proportional to 11,525.79, 17,286.74 and 3,206.61

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Solution

The fourth proportional to 11,525.79, 17,286.74 and 3,206.61 is: 4,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.79 : 17,286.74 = 3,206.61 : x
  2. Step 2: Convert to fraction form
    11,525.79/17,286.74 = 3,206.61/x
  3. Step 3: Cross multiply
    11,525.79x = 17,286.74 × 3,206.61
  4. Step 4: Simplify right side
    11,525.79x = 55,431,817.32
  5. Step 5: Solve for x
    x = 55,431,817.32/11,525.79
  6. Step 6: Final answer
    x = 4,809.37

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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.