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Finding the Fourth Proportional to 11,857.56, 16,363.44 and 6,552.38

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Solution

The fourth proportional to 11,857.56, 16,363.44 and 6,552.38 is: 9,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.56 : 16,363.44 = 6,552.38 : x
  2. Step 2: Convert to fraction form
    11,857.56/16,363.44 = 6,552.38/x
  3. Step 3: Cross multiply
    11,857.56x = 16,363.44 × 6,552.38
  4. Step 4: Simplify right side
    11,857.56x = 107,219,476.99
  5. Step 5: Solve for x
    x = 107,219,476.99/11,857.56
  6. Step 6: Final answer
    x = 9,042.29

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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.