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Finding the Fourth Proportional to 11,725.89, 17,589.06 and 3,828.39

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Solution

The fourth proportional to 11,725.89, 17,589.06 and 3,828.39 is: 5,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725.89 : 17,589.06 = 3,828.39 : x
  2. Step 2: Convert to fraction form
    11,725.89/17,589.06 = 3,828.39/x
  3. Step 3: Cross multiply
    11,725.89x = 17,589.06 × 3,828.39
  4. Step 4: Simplify right side
    11,725.89x = 67,337,781.41
  5. Step 5: Solve for x
    x = 67,337,781.41/11,725.89
  6. Step 6: Final answer
    x = 5,742.66

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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.