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Finding the Fourth Proportional to 11,916.97, 16,442.09 and 7,445.27

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Solution

The fourth proportional to 11,916.97, 16,442.09 and 7,445.27 is: 10,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.97 : 16,442.09 = 7,445.27 : x
  2. Step 2: Convert to fraction form
    11,916.97/16,442.09 = 7,445.27/x
  3. Step 3: Cross multiply
    11,916.97x = 16,442.09 × 7,445.27
  4. Step 4: Simplify right side
    11,916.97x = 122,415,738.73
  5. Step 5: Solve for x
    x = 122,415,738.73/11,916.97
  6. Step 6: Final answer
    x = 10,272.39

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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.