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Finding the Fourth Proportional to 11,247.76, 16,856.96 and 8,138.24

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Solution

The fourth proportional to 11,247.76, 16,856.96 and 8,138.24 is: 12,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,247.76 : 16,856.96 = 8,138.24 : x
  2. Step 2: Convert to fraction form
    11,247.76/16,856.96 = 8,138.24/x
  3. Step 3: Cross multiply
    11,247.76x = 16,856.96 × 8,138.24
  4. Step 4: Simplify right side
    11,247.76x = 137,185,986.15
  5. Step 5: Solve for x
    x = 137,185,986.15/11,247.76
  6. Step 6: Final answer
    x = 12,196.74

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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.