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Finding the Fourth Proportional to 7,204, 10,806 and 1,732

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Solution

The fourth proportional to 7,204, 10,806 and 1,732 is: 2,598

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204 : 10,806 = 1,732 : x
  2. Step 2: Convert to fraction form
    7,204/10,806 = 1,732/x
  3. Step 3: Cross multiply
    7,204x = 10,806 × 1,732
  4. Step 4: Simplify right side
    7,204x = 18,715,992
  5. Step 5: Solve for x
    x = 18,715,992/7,204
  6. Step 6: Final answer
    x = 2,598

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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.