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Finding the Fourth Proportional to 10,912.44, 15,059.64 and 6,436.38

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Solution

The fourth proportional to 10,912.44, 15,059.64 and 6,436.38 is: 8,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.44 : 15,059.64 = 6,436.38 : x
  2. Step 2: Convert to fraction form
    10,912.44/15,059.64 = 6,436.38/x
  3. Step 3: Cross multiply
    10,912.44x = 15,059.64 × 6,436.38
  4. Step 4: Simplify right side
    10,912.44x = 96,929,565.70
  5. Step 5: Solve for x
    x = 96,929,565.70/10,912.44
  6. Step 6: Final answer
    x = 8,882.48

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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.