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Finding the Fourth Proportional to 11,914.70, 16,441.08 and 6,880.52

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Solution

The fourth proportional to 11,914.70, 16,441.08 and 6,880.52 is: 9,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.70 : 16,441.08 = 6,880.52 : x
  2. Step 2: Convert to fraction form
    11,914.70/16,441.08 = 6,880.52/x
  3. Step 3: Cross multiply
    11,914.70x = 16,441.08 × 6,880.52
  4. Step 4: Simplify right side
    11,914.70x = 113,123,148.82
  5. Step 5: Solve for x
    x = 113,123,148.82/11,914.70
  6. Step 6: Final answer
    x = 9,494.42

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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.