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Finding the Fourth Proportional to 11,857.52, 16,364.36 and 6,553.38

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Solution

The fourth proportional to 11,857.52, 16,364.36 and 6,553.38 is: 9,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.52 : 16,364.36 = 6,553.38 : x
  2. Step 2: Convert to fraction form
    11,857.52/16,364.36 = 6,553.38/x
  3. Step 3: Cross multiply
    11,857.52x = 16,364.36 × 6,553.38
  4. Step 4: Simplify right side
    11,857.52x = 107,241,869.54
  5. Step 5: Solve for x
    x = 107,241,869.54/11,857.52
  6. Step 6: Final answer
    x = 9,044.21

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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.