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Finding the Fourth Proportional to 10,797.36, 16,186.32 and 3,867

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Solution

The fourth proportional to 10,797.36, 16,186.32 and 3,867 is: 5,797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.36 : 16,186.32 = 3,867 : x
  2. Step 2: Convert to fraction form
    10,797.36/16,186.32 = 3,867/x
  3. Step 3: Cross multiply
    10,797.36x = 16,186.32 × 3,867
  4. Step 4: Simplify right side
    10,797.36x = 62,592,499.44
  5. Step 5: Solve for x
    x = 62,592,499.44/10,797.36
  6. Step 6: Final answer
    x = 5,797.02

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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.