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Finding the Fourth Proportional to 7,383.62, 10,189.38 and 4,026.44

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Solution

The fourth proportional to 7,383.62, 10,189.38 and 4,026.44 is: 5,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383.62 : 10,189.38 = 4,026.44 : x
  2. Step 2: Convert to fraction form
    7,383.62/10,189.38 = 4,026.44/x
  3. Step 3: Cross multiply
    7,383.62x = 10,189.38 × 4,026.44
  4. Step 4: Simplify right side
    7,383.62x = 41,026,927.21
  5. Step 5: Solve for x
    x = 41,026,927.21/7,383.62
  6. Step 6: Final answer
    x = 5,556.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.