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Finding the Fourth Proportional to 11,744.94, 16,208.04 and 6,439.85

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Solution

The fourth proportional to 11,744.94, 16,208.04 and 6,439.85 is: 8,887.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.94 : 16,208.04 = 6,439.85 : x
  2. Step 2: Convert to fraction form
    11,744.94/16,208.04 = 6,439.85/x
  3. Step 3: Cross multiply
    11,744.94x = 16,208.04 × 6,439.85
  4. Step 4: Simplify right side
    11,744.94x = 104,377,346.39
  5. Step 5: Solve for x
    x = 104,377,346.39/11,744.94
  6. Step 6: Final answer
    x = 8,887.01

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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.