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Finding the Fourth Proportional to 8,058.74, 12,091.17 and 3,131.85

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Solution

The fourth proportional to 8,058.74, 12,091.17 and 3,131.85 is: 4,698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,058.74 : 12,091.17 = 3,131.85 : x
  2. Step 2: Convert to fraction form
    8,058.74/12,091.17 = 3,131.85/x
  3. Step 3: Cross multiply
    8,058.74x = 12,091.17 × 3,131.85
  4. Step 4: Simplify right side
    8,058.74x = 37,867,730.76
  5. Step 5: Solve for x
    x = 37,867,730.76/8,058.74
  6. Step 6: Final answer
    x = 4,698.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.