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Finding the Fourth Proportional to 11,775.68, 16,243.24 and 6,992.38

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Solution

The fourth proportional to 11,775.68, 16,243.24 and 6,992.38 is: 9,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.68 : 16,243.24 = 6,992.38 : x
  2. Step 2: Convert to fraction form
    11,775.68/16,243.24 = 6,992.38/x
  3. Step 3: Cross multiply
    11,775.68x = 16,243.24 × 6,992.38
  4. Step 4: Simplify right side
    11,775.68x = 113,578,906.51
  5. Step 5: Solve for x
    x = 113,578,906.51/11,775.68
  6. Step 6: Final answer
    x = 9,645.21

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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.