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Finding the Fourth Proportional to 11,912.40, 16,431.75 and 7,662.06

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Solution

The fourth proportional to 11,912.40, 16,431.75 and 7,662.06 is: 10,568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.40 : 16,431.75 = 7,662.06 : x
  2. Step 2: Convert to fraction form
    11,912.40/16,431.75 = 7,662.06/x
  3. Step 3: Cross multiply
    11,912.40x = 16,431.75 × 7,662.06
  4. Step 4: Simplify right side
    11,912.40x = 125,901,054.41
  5. Step 5: Solve for x
    x = 125,901,054.41/11,912.40
  6. Step 6: Final answer
    x = 10,568.91

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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.