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Finding the Fourth Proportional to 11,408.41, 17,142.99 and 6,147.46

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Solution

The fourth proportional to 11,408.41, 17,142.99 and 6,147.46 is: 9,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.41 : 17,142.99 = 6,147.46 : x
  2. Step 2: Convert to fraction form
    11,408.41/17,142.99 = 6,147.46/x
  3. Step 3: Cross multiply
    11,408.41x = 17,142.99 × 6,147.46
  4. Step 4: Simplify right side
    11,408.41x = 105,385,845.31
  5. Step 5: Solve for x
    x = 105,385,845.31/11,408.41
  6. Step 6: Final answer
    x = 9,237.56

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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.