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Finding the Fourth Proportional to 11,636.65, 16,058.91 and 6,331.80

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Solution

The fourth proportional to 11,636.65, 16,058.91 and 6,331.80 is: 8,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,636.65 : 16,058.91 = 6,331.80 : x
  2. Step 2: Convert to fraction form
    11,636.65/16,058.91 = 6,331.80/x
  3. Step 3: Cross multiply
    11,636.65x = 16,058.91 × 6,331.80
  4. Step 4: Simplify right side
    11,636.65x = 101,681,890.30
  5. Step 5: Solve for x
    x = 101,681,890.30/11,636.65
  6. Step 6: Final answer
    x = 8,738.07

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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.