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Finding the Fourth Proportional to 10,944.44, 16,419 and 5,018.48

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Solution

The fourth proportional to 10,944.44, 16,419 and 5,018.48 is: 7,528.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944.44 : 16,419 = 5,018.48 : x
  2. Step 2: Convert to fraction form
    10,944.44/16,419 = 5,018.48/x
  3. Step 3: Cross multiply
    10,944.44x = 16,419 × 5,018.48
  4. Step 4: Simplify right side
    10,944.44x = 82,398,423.12
  5. Step 5: Solve for x
    x = 82,398,423.12/10,944.44
  6. Step 6: Final answer
    x = 7,528.79

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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.