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Finding the Fourth Proportional to 11,635.40, 17,446.46 and 7,942.10

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Solution

The fourth proportional to 11,635.40, 17,446.46 and 7,942.10 is: 11,908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.40 : 17,446.46 = 7,942.10 : x
  2. Step 2: Convert to fraction form
    11,635.40/17,446.46 = 7,942.10/x
  3. Step 3: Cross multiply
    11,635.40x = 17,446.46 × 7,942.10
  4. Step 4: Simplify right side
    11,635.40x = 138,561,462.59
  5. Step 5: Solve for x
    x = 138,561,462.59/11,635.40
  6. Step 6: Final answer
    x = 11,908.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.