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Finding the Fourth Proportional to 10,820, 16,230 and 2,612

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Solution

The fourth proportional to 10,820, 16,230 and 2,612 is: 3,918

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820 : 16,230 = 2,612 : x
  2. Step 2: Convert to fraction form
    10,820/16,230 = 2,612/x
  3. Step 3: Cross multiply
    10,820x = 16,230 × 2,612
  4. Step 4: Simplify right side
    10,820x = 42,392,760
  5. Step 5: Solve for x
    x = 42,392,760/10,820
  6. Step 6: Final answer
    x = 3,918

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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.