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Finding the Fourth Proportional to 11,707.72, 17,563.33 and 4,311.61

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Solution

The fourth proportional to 11,707.72, 17,563.33 and 4,311.61 is: 6,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.72 : 17,563.33 = 4,311.61 : x
  2. Step 2: Convert to fraction form
    11,707.72/17,563.33 = 4,311.61/x
  3. Step 3: Cross multiply
    11,707.72x = 17,563.33 × 4,311.61
  4. Step 4: Simplify right side
    11,707.72x = 75,726,229.26
  5. Step 5: Solve for x
    x = 75,726,229.26/11,707.72
  6. Step 6: Final answer
    x = 6,468.06

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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.