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Finding the Fourth Proportional to 11,654.18, 16,083.90 and 7,180.94

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Solution

The fourth proportional to 11,654.18, 16,083.90 and 7,180.94 is: 9,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.18 : 16,083.90 = 7,180.94 : x
  2. Step 2: Convert to fraction form
    11,654.18/16,083.90 = 7,180.94/x
  3. Step 3: Cross multiply
    11,654.18x = 16,083.90 × 7,180.94
  4. Step 4: Simplify right side
    11,654.18x = 115,497,520.87
  5. Step 5: Solve for x
    x = 115,497,520.87/11,654.18
  6. Step 6: Final answer
    x = 9,910.39

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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.