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Finding the Fourth Proportional to 10,919.37, 16,378.89 and 6,229.37

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Solution

The fourth proportional to 10,919.37, 16,378.89 and 6,229.37 is: 9,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.37 : 16,378.89 = 6,229.37 : x
  2. Step 2: Convert to fraction form
    10,919.37/16,378.89 = 6,229.37/x
  3. Step 3: Cross multiply
    10,919.37x = 16,378.89 × 6,229.37
  4. Step 4: Simplify right side
    10,919.37x = 102,030,084.10
  5. Step 5: Solve for x
    x = 102,030,084.10/10,919.37
  6. Step 6: Final answer
    x = 9,343.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.