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Finding the Fourth Proportional to 11,493.41, 17,224.07 and 6,217.07

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Solution

The fourth proportional to 11,493.41, 17,224.07 and 6,217.07 is: 9,316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.41 : 17,224.07 = 6,217.07 : x
  2. Step 2: Convert to fraction form
    11,493.41/17,224.07 = 6,217.07/x
  3. Step 3: Cross multiply
    11,493.41x = 17,224.07 × 6,217.07
  4. Step 4: Simplify right side
    11,493.41x = 107,083,131.67
  5. Step 5: Solve for x
    x = 107,083,131.67/11,493.41
  6. Step 6: Final answer
    x = 9,316.92

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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.