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Finding the Fourth Proportional to 10,986.27, 16,490.34 and 6,058.23

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Solution

The fourth proportional to 10,986.27, 16,490.34 and 6,058.23 is: 9,093.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.27 : 16,490.34 = 6,058.23 : x
  2. Step 2: Convert to fraction form
    10,986.27/16,490.34 = 6,058.23/x
  3. Step 3: Cross multiply
    10,986.27x = 16,490.34 × 6,058.23
  4. Step 4: Simplify right side
    10,986.27x = 99,902,272.50
  5. Step 5: Solve for x
    x = 99,902,272.50/10,986.27
  6. Step 6: Final answer
    x = 9,093.37

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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.