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Finding the Fourth Proportional to 11,991.38, 16,555.81 and 7,744.35

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Solution

The fourth proportional to 11,991.38, 16,555.81 and 7,744.35 is: 10,692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.38 : 16,555.81 = 7,744.35 : x
  2. Step 2: Convert to fraction form
    11,991.38/16,555.81 = 7,744.35/x
  3. Step 3: Cross multiply
    11,991.38x = 16,555.81 × 7,744.35
  4. Step 4: Simplify right side
    11,991.38x = 128,213,987.17
  5. Step 5: Solve for x
    x = 128,213,987.17/11,991.38
  6. Step 6: Final answer
    x = 10,692.18

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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.