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Finding the Fourth Proportional to 10,245.92, 14,111.76 and 8,846.24

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Solution

The fourth proportional to 10,245.92, 14,111.76 and 8,846.24 is: 12,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.92 : 14,111.76 = 8,846.24 : x
  2. Step 2: Convert to fraction form
    10,245.92/14,111.76 = 8,846.24/x
  3. Step 3: Cross multiply
    10,245.92x = 14,111.76 × 8,846.24
  4. Step 4: Simplify right side
    10,245.92x = 124,836,015.78
  5. Step 5: Solve for x
    x = 124,836,015.78/10,245.92
  6. Step 6: Final answer
    x = 12,183.97

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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.