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Finding the Fourth Proportional to 11,693.34, 17,542.44 and 3,797.82

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Solution

The fourth proportional to 11,693.34, 17,542.44 and 3,797.82 is: 5,697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.34 : 17,542.44 = 3,797.82 : x
  2. Step 2: Convert to fraction form
    11,693.34/17,542.44 = 3,797.82/x
  3. Step 3: Cross multiply
    11,693.34x = 17,542.44 × 3,797.82
  4. Step 4: Simplify right side
    11,693.34x = 66,623,029.48
  5. Step 5: Solve for x
    x = 66,623,029.48/11,693.34
  6. Step 6: Final answer
    x = 5,697.52

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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.