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Finding the Fourth Proportional to 27,992.64, 41,976.38 and 8,264.28

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Solution

The fourth proportional to 27,992.64, 41,976.38 and 8,264.28 is: 12,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,992.64 : 41,976.38 = 8,264.28 : x
  2. Step 2: Convert to fraction form
    27,992.64/41,976.38 = 8,264.28/x
  3. Step 3: Cross multiply
    27,992.64x = 41,976.38 × 8,264.28
  4. Step 4: Simplify right side
    27,992.64x = 346,904,557.71
  5. Step 5: Solve for x
    x = 346,904,557.71/27,992.64
  6. Step 6: Final answer
    x = 12,392.71

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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.