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Finding the Fourth Proportional to 8,277.38, 11,424.56 and 5,093.38

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Solution

The fourth proportional to 8,277.38, 11,424.56 and 5,093.38 is: 7,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.38 : 11,424.56 = 5,093.38 : x
  2. Step 2: Convert to fraction form
    8,277.38/11,424.56 = 5,093.38/x
  3. Step 3: Cross multiply
    8,277.38x = 11,424.56 × 5,093.38
  4. Step 4: Simplify right side
    8,277.38x = 58,189,625.41
  5. Step 5: Solve for x
    x = 58,189,625.41/8,277.38
  6. Step 6: Final answer
    x = 7,029.96

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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.