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Finding the Fourth Proportional to 11,893.39, 16,412.82 and 6,857.57

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Solution

The fourth proportional to 11,893.39, 16,412.82 and 6,857.57 is: 9,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.39 : 16,412.82 = 6,857.57 : x
  2. Step 2: Convert to fraction form
    11,893.39/16,412.82 = 6,857.57/x
  3. Step 3: Cross multiply
    11,893.39x = 16,412.82 × 6,857.57
  4. Step 4: Simplify right side
    11,893.39x = 112,552,062.05
  5. Step 5: Solve for x
    x = 112,552,062.05/11,893.39
  6. Step 6: Final answer
    x = 9,463.41

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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.