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Finding the Fourth Proportional to 29,864, 44,796 and 7,976

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Solution

The fourth proportional to 29,864, 44,796 and 7,976 is: 11,964

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,864 : 44,796 = 7,976 : x
  2. Step 2: Convert to fraction form
    29,864/44,796 = 7,976/x
  3. Step 3: Cross multiply
    29,864x = 44,796 × 7,976
  4. Step 4: Simplify right side
    29,864x = 357,292,896
  5. Step 5: Solve for x
    x = 357,292,896/29,864
  6. Step 6: Final answer
    x = 11,964

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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.