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Finding the Fourth Proportional to 11,369.87, 17,058.21 and 6,871.94

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Solution

The fourth proportional to 11,369.87, 17,058.21 and 6,871.94 is: 10,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369.87 : 17,058.21 = 6,871.94 : x
  2. Step 2: Convert to fraction form
    11,369.87/17,058.21 = 6,871.94/x
  3. Step 3: Cross multiply
    11,369.87x = 17,058.21 × 6,871.94
  4. Step 4: Simplify right side
    11,369.87x = 117,222,995.63
  5. Step 5: Solve for x
    x = 117,222,995.63/11,369.87
  6. Step 6: Final answer
    x = 10,309.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.