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Finding the Fourth Proportional to 7,826.63, 11,786.82 and 7,126.79

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Solution

The fourth proportional to 7,826.63, 11,786.82 and 7,126.79 is: 10,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.63 : 11,786.82 = 7,126.79 : x
  2. Step 2: Convert to fraction form
    7,826.63/11,786.82 = 7,126.79/x
  3. Step 3: Cross multiply
    7,826.63x = 11,786.82 × 7,126.79
  4. Step 4: Simplify right side
    7,826.63x = 84,002,105.25
  5. Step 5: Solve for x
    x = 84,002,105.25/7,826.63
  6. Step 6: Final answer
    x = 10,732.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.