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Finding the Fourth Proportional to 11,774.48, 16,249.14 and 6,469.64

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Solution

The fourth proportional to 11,774.48, 16,249.14 and 6,469.64 is: 8,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.48 : 16,249.14 = 6,469.64 : x
  2. Step 2: Convert to fraction form
    11,774.48/16,249.14 = 6,469.64/x
  3. Step 3: Cross multiply
    11,774.48x = 16,249.14 × 6,469.64
  4. Step 4: Simplify right side
    11,774.48x = 105,126,086.11
  5. Step 5: Solve for x
    x = 105,126,086.11/11,774.48
  6. Step 6: Final answer
    x = 8,928.30

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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.