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Finding the Fourth Proportional to 27,761.22, 41,641.86 and 6,984.72

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Solution

The fourth proportional to 27,761.22, 41,641.86 and 6,984.72 is: 10,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.22 : 41,641.86 = 6,984.72 : x
  2. Step 2: Convert to fraction form
    27,761.22/41,641.86 = 6,984.72/x
  3. Step 3: Cross multiply
    27,761.22x = 41,641.86 × 6,984.72
  4. Step 4: Simplify right side
    27,761.22x = 290,856,732.38
  5. Step 5: Solve for x
    x = 290,856,732.38/27,761.22
  6. Step 6: Final answer
    x = 10,477.09

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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.