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Finding the Fourth Proportional to 11,774.66, 16,249.35 and 6,469.62

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Solution

The fourth proportional to 11,774.66, 16,249.35 and 6,469.62 is: 8,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.66 : 16,249.35 = 6,469.62 : x
  2. Step 2: Convert to fraction form
    11,774.66/16,249.35 = 6,469.62/x
  3. Step 3: Cross multiply
    11,774.66x = 16,249.35 × 6,469.62
  4. Step 4: Simplify right side
    11,774.66x = 105,127,119.75
  5. Step 5: Solve for x
    x = 105,127,119.75/11,774.66
  6. Step 6: Final answer
    x = 8,928.25

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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.