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Finding the Fourth Proportional to 10,383.44, 14,327.23 and 5,906.93

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Solution

The fourth proportional to 10,383.44, 14,327.23 and 5,906.93 is: 8,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.44 : 14,327.23 = 5,906.93 : x
  2. Step 2: Convert to fraction form
    10,383.44/14,327.23 = 5,906.93/x
  3. Step 3: Cross multiply
    10,383.44x = 14,327.23 × 5,906.93
  4. Step 4: Simplify right side
    10,383.44x = 84,629,869.38
  5. Step 5: Solve for x
    x = 84,629,869.38/10,383.44
  6. Step 6: Final answer
    x = 8,150.46

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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.