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Finding the Fourth Proportional to 11,581.20, 15,991.20 and 10,696.64

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Solution

The fourth proportional to 11,581.20, 15,991.20 and 10,696.64 is: 14,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,581.20 : 15,991.20 = 10,696.64 : x
  2. Step 2: Convert to fraction form
    11,581.20/15,991.20 = 10,696.64/x
  3. Step 3: Cross multiply
    11,581.20x = 15,991.20 × 10,696.64
  4. Step 4: Simplify right side
    11,581.20x = 171,052,109.57
  5. Step 5: Solve for x
    x = 171,052,109.57/11,581.20
  6. Step 6: Final answer
    x = 14,769.81

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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.