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Finding the Fourth Proportional to 10,754.34, 16,098.68 and 7,974.12

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Solution

The fourth proportional to 10,754.34, 16,098.68 and 7,974.12 is: 11,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.34 : 16,098.68 = 7,974.12 : x
  2. Step 2: Convert to fraction form
    10,754.34/16,098.68 = 7,974.12/x
  3. Step 3: Cross multiply
    10,754.34x = 16,098.68 × 7,974.12
  4. Step 4: Simplify right side
    10,754.34x = 128,372,766.29
  5. Step 5: Solve for x
    x = 128,372,766.29/10,754.34
  6. Step 6: Final answer
    x = 11,936.83

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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.