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Finding the Fourth Proportional to 11,774.07, 16,249.23 and 6,469.92

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Solution

The fourth proportional to 11,774.07, 16,249.23 and 6,469.92 is: 8,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.07 : 16,249.23 = 6,469.92 : x
  2. Step 2: Convert to fraction form
    11,774.07/16,249.23 = 6,469.92/x
  3. Step 3: Cross multiply
    11,774.07x = 16,249.23 × 6,469.92
  4. Step 4: Simplify right side
    11,774.07x = 105,131,218.16
  5. Step 5: Solve for x
    x = 105,131,218.16/11,774.07
  6. Step 6: Final answer
    x = 8,929.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.