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Finding the Fourth Proportional to 26,976, 40,464 and 8,508

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Solution

The fourth proportional to 26,976, 40,464 and 8,508 is: 12,762

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,976 : 40,464 = 8,508 : x
  2. Step 2: Convert to fraction form
    26,976/40,464 = 8,508/x
  3. Step 3: Cross multiply
    26,976x = 40,464 × 8,508
  4. Step 4: Simplify right side
    26,976x = 344,267,712
  5. Step 5: Solve for x
    x = 344,267,712/26,976
  6. Step 6: Final answer
    x = 12,762

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.