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Finding the Fourth Proportional to 11,775.06, 16,249.74 and 6,469.82

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Solution

The fourth proportional to 11,775.06, 16,249.74 and 6,469.82 is: 8,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.06 : 16,249.74 = 6,469.82 : x
  2. Step 2: Convert to fraction form
    11,775.06/16,249.74 = 6,469.82/x
  3. Step 3: Cross multiply
    11,775.06x = 16,249.74 × 6,469.82
  4. Step 4: Simplify right side
    11,775.06x = 105,132,892.85
  5. Step 5: Solve for x
    x = 105,132,892.85/11,775.06
  6. Step 6: Final answer
    x = 8,928.44

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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.