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Finding the Fourth Proportional to 8,123.63, 11,212.37 and 5,143.43

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Solution

The fourth proportional to 8,123.63, 11,212.37 and 5,143.43 is: 7,099.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.63 : 11,212.37 = 5,143.43 : x
  2. Step 2: Convert to fraction form
    8,123.63/11,212.37 = 5,143.43/x
  3. Step 3: Cross multiply
    8,123.63x = 11,212.37 × 5,143.43
  4. Step 4: Simplify right side
    8,123.63x = 57,669,958.45
  5. Step 5: Solve for x
    x = 57,669,958.45/8,123.63
  6. Step 6: Final answer
    x = 7,099.04

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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.