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Finding the Fourth Proportional to 11,540.28, 15,920.04 and 9,944.16

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Solution

The fourth proportional to 11,540.28, 15,920.04 and 9,944.16 is: 13,718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.28 : 15,920.04 = 9,944.16 : x
  2. Step 2: Convert to fraction form
    11,540.28/15,920.04 = 9,944.16/x
  3. Step 3: Cross multiply
    11,540.28x = 15,920.04 × 9,944.16
  4. Step 4: Simplify right side
    11,540.28x = 158,311,424.97
  5. Step 5: Solve for x
    x = 158,311,424.97/11,540.28
  6. Step 6: Final answer
    x = 13,718.16

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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.