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Finding the Fourth Proportional to 11,893.93, 16,427.40 and 7,908.14

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Solution

The fourth proportional to 11,893.93, 16,427.40 and 7,908.14 is: 10,922.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.93 : 16,427.40 = 7,908.14 : x
  2. Step 2: Convert to fraction form
    11,893.93/16,427.40 = 7,908.14/x
  3. Step 3: Cross multiply
    11,893.93x = 16,427.40 × 7,908.14
  4. Step 4: Simplify right side
    11,893.93x = 129,910,179.04
  5. Step 5: Solve for x
    x = 129,910,179.04/11,893.93
  6. Step 6: Final answer
    x = 10,922.39

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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.