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Finding the Fourth Proportional to 10,919.69, 15,069.18 and 5,951.69

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Solution

The fourth proportional to 10,919.69, 15,069.18 and 5,951.69 is: 8,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.69 : 15,069.18 = 5,951.69 : x
  2. Step 2: Convert to fraction form
    10,919.69/15,069.18 = 5,951.69/x
  3. Step 3: Cross multiply
    10,919.69x = 15,069.18 × 5,951.69
  4. Step 4: Simplify right side
    10,919.69x = 89,687,087.91
  5. Step 5: Solve for x
    x = 89,687,087.91/10,919.69
  6. Step 6: Final answer
    x = 8,213.34

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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.