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Finding the Fourth Proportional to 10,906.38, 15,049.80 and 6,189.75

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Solution

The fourth proportional to 10,906.38, 15,049.80 and 6,189.75 is: 8,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.38 : 15,049.80 = 6,189.75 : x
  2. Step 2: Convert to fraction form
    10,906.38/15,049.80 = 6,189.75/x
  3. Step 3: Cross multiply
    10,906.38x = 15,049.80 × 6,189.75
  4. Step 4: Simplify right side
    10,906.38x = 93,154,499.55
  5. Step 5: Solve for x
    x = 93,154,499.55/10,906.38
  6. Step 6: Final answer
    x = 8,541.28

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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.