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Finding the Fourth Proportional to 11,491.90, 17,221.82 and 6,215.56

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Solution

The fourth proportional to 11,491.90, 17,221.82 and 6,215.56 is: 9,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.90 : 17,221.82 = 6,215.56 : x
  2. Step 2: Convert to fraction form
    11,491.90/17,221.82 = 6,215.56/x
  3. Step 3: Cross multiply
    11,491.90x = 17,221.82 × 6,215.56
  4. Step 4: Simplify right side
    11,491.90x = 107,043,181.39
  5. Step 5: Solve for x
    x = 107,043,181.39/11,491.90
  6. Step 6: Final answer
    x = 9,314.67

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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.