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Finding the Fourth Proportional to 7,383.96, 10,184.94 and 5,889.24

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Solution

The fourth proportional to 7,383.96, 10,184.94 and 5,889.24 is: 8,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383.96 : 10,184.94 = 5,889.24 : x
  2. Step 2: Convert to fraction form
    7,383.96/10,184.94 = 5,889.24/x
  3. Step 3: Cross multiply
    7,383.96x = 10,184.94 × 5,889.24
  4. Step 4: Simplify right side
    7,383.96x = 59,981,556.05
  5. Step 5: Solve for x
    x = 59,981,556.05/7,383.96
  6. Step 6: Final answer
    x = 8,123.22

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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.