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Finding the Fourth Proportional to 26,927.10, 40,392.86 and 8,207.29

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Solution

The fourth proportional to 26,927.10, 40,392.86 and 8,207.29 is: 12,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,927.10 : 40,392.86 = 8,207.29 : x
  2. Step 2: Convert to fraction form
    26,927.10/40,392.86 = 8,207.29/x
  3. Step 3: Cross multiply
    26,927.10x = 40,392.86 × 8,207.29
  4. Step 4: Simplify right side
    26,927.10x = 331,515,835.79
  5. Step 5: Solve for x
    x = 331,515,835.79/26,927.10
  6. Step 6: Final answer
    x = 12,311.61

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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.