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Finding the Fourth Proportional to 11,751.94, 16,217.66 and 6,446.84

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Solution

The fourth proportional to 11,751.94, 16,217.66 and 6,446.84 is: 8,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.94 : 16,217.66 = 6,446.84 : x
  2. Step 2: Convert to fraction form
    11,751.94/16,217.66 = 6,446.84/x
  3. Step 3: Cross multiply
    11,751.94x = 16,217.66 × 6,446.84
  4. Step 4: Simplify right side
    11,751.94x = 104,552,659.19
  5. Step 5: Solve for x
    x = 104,552,659.19/11,751.94
  6. Step 6: Final answer
    x = 8,896.63

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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.