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Finding the Fourth Proportional to 11,224.37, 15,489.74 and 6,188.77

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Solution

The fourth proportional to 11,224.37, 15,489.74 and 6,188.77 is: 8,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.37 : 15,489.74 = 6,188.77 : x
  2. Step 2: Convert to fraction form
    11,224.37/15,489.74 = 6,188.77/x
  3. Step 3: Cross multiply
    11,224.37x = 15,489.74 × 6,188.77
  4. Step 4: Simplify right side
    11,224.37x = 95,862,494.85
  5. Step 5: Solve for x
    x = 95,862,494.85/11,224.37
  6. Step 6: Final answer
    x = 8,540.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.