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Finding the Fourth Proportional to 10,889.82, 15,027.39 and 6,174.42

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Solution

The fourth proportional to 10,889.82, 15,027.39 and 6,174.42 is: 8,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,889.82 : 15,027.39 = 6,174.42 : x
  2. Step 2: Convert to fraction form
    10,889.82/15,027.39 = 6,174.42/x
  3. Step 3: Cross multiply
    10,889.82x = 15,027.39 × 6,174.42
  4. Step 4: Simplify right side
    10,889.82x = 92,785,417.36
  5. Step 5: Solve for x
    x = 92,785,417.36/10,889.82
  6. Step 6: Final answer
    x = 8,520.38

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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.