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Finding the Fourth Proportional to 11,071.92, 15,292.48 and 8,082.96

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Solution

The fourth proportional to 11,071.92, 15,292.48 and 8,082.96 is: 11,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.92 : 15,292.48 = 8,082.96 : x
  2. Step 2: Convert to fraction form
    11,071.92/15,292.48 = 8,082.96/x
  3. Step 3: Cross multiply
    11,071.92x = 15,292.48 × 8,082.96
  4. Step 4: Simplify right side
    11,071.92x = 123,608,504.14
  5. Step 5: Solve for x
    x = 123,608,504.14/11,071.92
  6. Step 6: Final answer
    x = 11,164.14

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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.