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Finding the Fourth Proportional to 11,589.23, 17,383.86 and 5,347.41

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Solution

The fourth proportional to 11,589.23, 17,383.86 and 5,347.41 is: 8,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.23 : 17,383.86 = 5,347.41 : x
  2. Step 2: Convert to fraction form
    11,589.23/17,383.86 = 5,347.41/x
  3. Step 3: Cross multiply
    11,589.23x = 17,383.86 × 5,347.41
  4. Step 4: Simplify right side
    11,589.23x = 92,958,561.61
  5. Step 5: Solve for x
    x = 92,958,561.61/11,589.23
  6. Step 6: Final answer
    x = 8,021.11

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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.