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Finding the Fourth Proportional to 11,914.88, 16,431.76 and 7,439.04

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Solution

The fourth proportional to 11,914.88, 16,431.76 and 7,439.04 is: 10,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.88 : 16,431.76 = 7,439.04 : x
  2. Step 2: Convert to fraction form
    11,914.88/16,431.76 = 7,439.04/x
  3. Step 3: Cross multiply
    11,914.88x = 16,431.76 × 7,439.04
  4. Step 4: Simplify right side
    11,914.88x = 122,236,519.91
  5. Step 5: Solve for x
    x = 122,236,519.91/11,914.88
  6. Step 6: Final answer
    x = 10,259.15

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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.