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Finding the Fourth Proportional to 7,381.28, 11,071.92 and 5,194.28

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Solution

The fourth proportional to 7,381.28, 11,071.92 and 5,194.28 is: 7,791.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.28 : 11,071.92 = 5,194.28 : x
  2. Step 2: Convert to fraction form
    7,381.28/11,071.92 = 5,194.28/x
  3. Step 3: Cross multiply
    7,381.28x = 11,071.92 × 5,194.28
  4. Step 4: Simplify right side
    7,381.28x = 57,510,652.62
  5. Step 5: Solve for x
    x = 57,510,652.62/7,381.28
  6. Step 6: Final answer
    x = 7,791.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.