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Finding the Fourth Proportional to 10,816, 16,224 and 2,608

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Solution

The fourth proportional to 10,816, 16,224 and 2,608 is: 3,912

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816 : 16,224 = 2,608 : x
  2. Step 2: Convert to fraction form
    10,816/16,224 = 2,608/x
  3. Step 3: Cross multiply
    10,816x = 16,224 × 2,608
  4. Step 4: Simplify right side
    10,816x = 42,312,192
  5. Step 5: Solve for x
    x = 42,312,192/10,816
  6. Step 6: Final answer
    x = 3,912

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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.