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Finding the Fourth Proportional to 11,914.87, 16,443.26 and 6,880.01

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Solution

The fourth proportional to 11,914.87, 16,443.26 and 6,880.01 is: 9,494.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.87 : 16,443.26 = 6,880.01 : x
  2. Step 2: Convert to fraction form
    11,914.87/16,443.26 = 6,880.01/x
  3. Step 3: Cross multiply
    11,914.87x = 16,443.26 × 6,880.01
  4. Step 4: Simplify right side
    11,914.87x = 113,129,793.23
  5. Step 5: Solve for x
    x = 113,129,793.23/11,914.87
  6. Step 6: Final answer
    x = 9,494.84

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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.