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Finding the Fourth Proportional to 8,058.34, 12,078.19 and 4,105.81

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Solution

The fourth proportional to 8,058.34, 12,078.19 and 4,105.81 is: 6,153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,058.34 : 12,078.19 = 4,105.81 : x
  2. Step 2: Convert to fraction form
    8,058.34/12,078.19 = 4,105.81/x
  3. Step 3: Cross multiply
    8,058.34x = 12,078.19 × 4,105.81
  4. Step 4: Simplify right side
    8,058.34x = 49,590,753.28
  5. Step 5: Solve for x
    x = 49,590,753.28/8,058.34
  6. Step 6: Final answer
    x = 6,153.97

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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.