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Finding the Fourth Proportional to 27,576.98, 41,371.96 and 7,855.82

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Solution

The fourth proportional to 27,576.98, 41,371.96 and 7,855.82 is: 11,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,576.98 : 41,371.96 = 7,855.82 : x
  2. Step 2: Convert to fraction form
    27,576.98/41,371.96 = 7,855.82/x
  3. Step 3: Cross multiply
    27,576.98x = 41,371.96 × 7,855.82
  4. Step 4: Simplify right side
    27,576.98x = 325,010,631.53
  5. Step 5: Solve for x
    x = 325,010,631.53/27,576.98
  6. Step 6: Final answer
    x = 11,785.58

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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.