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Finding the Fourth Proportional to 10,903, 15,046.26 and 5,935

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Solution

The fourth proportional to 10,903, 15,046.26 and 5,935 is: 8,190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903 : 15,046.26 = 5,935 : x
  2. Step 2: Convert to fraction form
    10,903/15,046.26 = 5,935/x
  3. Step 3: Cross multiply
    10,903x = 15,046.26 × 5,935
  4. Step 4: Simplify right side
    10,903x = 89,299,553.10
  5. Step 5: Solve for x
    x = 89,299,553.10/10,903
  6. Step 6: Final answer
    x = 8,190.37

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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.