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Finding the Fourth Proportional to 11,914.40, 16,441.31 and 6,609.11

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Solution

The fourth proportional to 11,914.40, 16,441.31 and 6,609.11 is: 9,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.40 : 16,441.31 = 6,609.11 : x
  2. Step 2: Convert to fraction form
    11,914.40/16,441.31 = 6,609.11/x
  3. Step 3: Cross multiply
    11,914.40x = 16,441.31 × 6,609.11
  4. Step 4: Simplify right side
    11,914.40x = 108,662,360.65
  5. Step 5: Solve for x
    x = 108,662,360.65/11,914.40
  6. Step 6: Final answer
    x = 9,120.25

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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.