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Finding the Fourth Proportional to 11,705.73, 17,546.43 and 7,491.96

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Solution

The fourth proportional to 11,705.73, 17,546.43 and 7,491.96 is: 11,230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.73 : 17,546.43 = 7,491.96 : x
  2. Step 2: Convert to fraction form
    11,705.73/17,546.43 = 7,491.96/x
  3. Step 3: Cross multiply
    11,705.73x = 17,546.43 × 7,491.96
  4. Step 4: Simplify right side
    11,705.73x = 131,457,151.70
  5. Step 5: Solve for x
    x = 131,457,151.70/11,705.73
  6. Step 6: Final answer
    x = 11,230.15

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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.