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Finding the Fourth Proportional to 8,138.56, 11,232.05 and 4,952.09

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Solution

The fourth proportional to 8,138.56, 11,232.05 and 4,952.09 is: 6,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.56 : 11,232.05 = 4,952.09 : x
  2. Step 2: Convert to fraction form
    8,138.56/11,232.05 = 4,952.09/x
  3. Step 3: Cross multiply
    8,138.56x = 11,232.05 × 4,952.09
  4. Step 4: Simplify right side
    8,138.56x = 55,622,134.86
  5. Step 5: Solve for x
    x = 55,622,134.86/8,138.56
  6. Step 6: Final answer
    x = 6,834.39

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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.