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Finding the Fourth Proportional to 11,238.31, 15,508.68 and 6,202.52

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Solution

The fourth proportional to 11,238.31, 15,508.68 and 6,202.52 is: 8,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.31 : 15,508.68 = 6,202.52 : x
  2. Step 2: Convert to fraction form
    11,238.31/15,508.68 = 6,202.52/x
  3. Step 3: Cross multiply
    11,238.31x = 15,508.68 × 6,202.52
  4. Step 4: Simplify right side
    11,238.31x = 96,192,977.35
  5. Step 5: Solve for x
    x = 96,192,977.35/11,238.31
  6. Step 6: Final answer
    x = 8,559.38

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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.