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Finding the Fourth Proportional to 8,058.41, 12,082.25 and 4,111.10

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Solution

The fourth proportional to 8,058.41, 12,082.25 and 4,111.10 is: 6,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,058.41 : 12,082.25 = 4,111.10 : x
  2. Step 2: Convert to fraction form
    8,058.41/12,082.25 = 4,111.10/x
  3. Step 3: Cross multiply
    8,058.41x = 12,082.25 × 4,111.10
  4. Step 4: Simplify right side
    8,058.41x = 49,671,337.98
  5. Step 5: Solve for x
    x = 49,671,337.98/8,058.41
  6. Step 6: Final answer
    x = 6,163.91

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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.