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Finding the Fourth Proportional to 11,614.08, 17,423.82 and 3,822.60

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Solution

The fourth proportional to 11,614.08, 17,423.82 and 3,822.60 is: 5,734.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.08 : 17,423.82 = 3,822.60 : x
  2. Step 2: Convert to fraction form
    11,614.08/17,423.82 = 3,822.60/x
  3. Step 3: Cross multiply
    11,614.08x = 17,423.82 × 3,822.60
  4. Step 4: Simplify right side
    11,614.08x = 66,604,294.33
  5. Step 5: Solve for x
    x = 66,604,294.33/11,614.08
  6. Step 6: Final answer
    x = 5,734.79

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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.