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Finding the Fourth Proportional to 10,912.38, 15,059.08 and 5,944.38

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Solution

The fourth proportional to 10,912.38, 15,059.08 and 5,944.38 is: 8,203.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.38 : 15,059.08 = 5,944.38 : x
  2. Step 2: Convert to fraction form
    10,912.38/15,059.08 = 5,944.38/x
  3. Step 3: Cross multiply
    10,912.38x = 15,059.08 × 5,944.38
  4. Step 4: Simplify right side
    10,912.38x = 89,516,893.97
  5. Step 5: Solve for x
    x = 89,516,893.97/10,912.38
  6. Step 6: Final answer
    x = 8,203.24

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Why These Related Problems?

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