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Finding the Fourth Proportional to 11,636.86, 16,058.39 and 6,331.69

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Solution

The fourth proportional to 11,636.86, 16,058.39 and 6,331.69 is: 8,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,636.86 : 16,058.39 = 6,331.69 : x
  2. Step 2: Convert to fraction form
    11,636.86/16,058.39 = 6,331.69/x
  3. Step 3: Cross multiply
    11,636.86x = 16,058.39 × 6,331.69
  4. Step 4: Simplify right side
    11,636.86x = 101,676,747.38
  5. Step 5: Solve for x
    x = 101,676,747.38/11,636.86
  6. Step 6: Final answer
    x = 8,737.47

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Why These Related Problems?

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