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Finding the Fourth Proportional to 10,944.24, 16,412.76 and 6,019.44

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Solution

The fourth proportional to 10,944.24, 16,412.76 and 6,019.44 is: 9,027.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944.24 : 16,412.76 = 6,019.44 : x
  2. Step 2: Convert to fraction form
    10,944.24/16,412.76 = 6,019.44/x
  3. Step 3: Cross multiply
    10,944.24x = 16,412.76 × 6,019.44
  4. Step 4: Simplify right side
    10,944.24x = 98,795,624.05
  5. Step 5: Solve for x
    x = 98,795,624.05/10,944.24
  6. Step 6: Final answer
    x = 9,027.18

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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.