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Finding the Fourth Proportional to 10,916.72, 15,049.83 and 9,231.37

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Solution

The fourth proportional to 10,916.72, 15,049.83 and 9,231.37 is: 12,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.72 : 15,049.83 = 9,231.37 : x
  2. Step 2: Convert to fraction form
    10,916.72/15,049.83 = 9,231.37/x
  3. Step 3: Cross multiply
    10,916.72x = 15,049.83 × 9,231.37
  4. Step 4: Simplify right side
    10,916.72x = 138,930,468.27
  5. Step 5: Solve for x
    x = 138,930,468.27/10,916.72
  6. Step 6: Final answer
    x = 12,726.39

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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.