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Finding the Fourth Proportional to 11,588.82, 15,992.38 and 6,552.88

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Solution

The fourth proportional to 11,588.82, 15,992.38 and 6,552.88 is: 9,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.82 : 15,992.38 = 6,552.88 : x
  2. Step 2: Convert to fraction form
    11,588.82/15,992.38 = 6,552.88/x
  3. Step 3: Cross multiply
    11,588.82x = 15,992.38 × 6,552.88
  4. Step 4: Simplify right side
    11,588.82x = 104,796,115.26
  5. Step 5: Solve for x
    x = 104,796,115.26/11,588.82
  6. Step 6: Final answer
    x = 9,042.87

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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.