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Finding the Fourth Proportional to 10,992.70, 16,491.48 and 5,449.06

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Solution

The fourth proportional to 10,992.70, 16,491.48 and 5,449.06 is: 8,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.70 : 16,491.48 = 5,449.06 : x
  2. Step 2: Convert to fraction form
    10,992.70/16,491.48 = 5,449.06/x
  3. Step 3: Cross multiply
    10,992.70x = 16,491.48 × 5,449.06
  4. Step 4: Simplify right side
    10,992.70x = 89,863,064.01
  5. Step 5: Solve for x
    x = 89,863,064.01/10,992.70
  6. Step 6: Final answer
    x = 8,174.79

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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.