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Finding the Fourth Proportional to 11,823.34, 17,737.11 and 3,926.33

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Solution

The fourth proportional to 11,823.34, 17,737.11 and 3,926.33 is: 5,890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.34 : 17,737.11 = 3,926.33 : x
  2. Step 2: Convert to fraction form
    11,823.34/17,737.11 = 3,926.33/x
  3. Step 3: Cross multiply
    11,823.34x = 17,737.11 × 3,926.33
  4. Step 4: Simplify right side
    11,823.34x = 69,641,747.11
  5. Step 5: Solve for x
    x = 69,641,747.11/11,823.34
  6. Step 6: Final answer
    x = 5,890.19

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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.