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Finding the Fourth Proportional to 11,745.86, 17,610.92 and 6,193.34

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Solution

The fourth proportional to 11,745.86, 17,610.92 and 6,193.34 is: 9,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.86 : 17,610.92 = 6,193.34 : x
  2. Step 2: Convert to fraction form
    11,745.86/17,610.92 = 6,193.34/x
  3. Step 3: Cross multiply
    11,745.86x = 17,610.92 × 6,193.34
  4. Step 4: Simplify right side
    11,745.86x = 109,070,342.70
  5. Step 5: Solve for x
    x = 109,070,342.70/11,745.86
  6. Step 6: Final answer
    x = 9,285.86

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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.