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Finding the Fourth Proportional to 11,636.78, 16,058.49 and 6,331.61

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Solution

The fourth proportional to 11,636.78, 16,058.49 and 6,331.61 is: 8,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,636.78 : 16,058.49 = 6,331.61 : x
  2. Step 2: Convert to fraction form
    11,636.78/16,058.49 = 6,331.61/x
  3. Step 3: Cross multiply
    11,636.78x = 16,058.49 × 6,331.61
  4. Step 4: Simplify right side
    11,636.78x = 101,676,015.58
  5. Step 5: Solve for x
    x = 101,676,015.58/11,636.78
  6. Step 6: Final answer
    x = 8,737.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.