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Finding the Fourth Proportional to 10,828, 16,242 and 2,620

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Solution

The fourth proportional to 10,828, 16,242 and 2,620 is: 3,930

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828 : 16,242 = 2,620 : x
  2. Step 2: Convert to fraction form
    10,828/16,242 = 2,620/x
  3. Step 3: Cross multiply
    10,828x = 16,242 × 2,620
  4. Step 4: Simplify right side
    10,828x = 42,554,040
  5. Step 5: Solve for x
    x = 42,554,040/10,828
  6. Step 6: Final answer
    x = 3,930

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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.