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Finding the Fourth Proportional to 10,814.56, 16,219.68 and 3,023.44

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Solution

The fourth proportional to 10,814.56, 16,219.68 and 3,023.44 is: 4,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.56 : 16,219.68 = 3,023.44 : x
  2. Step 2: Convert to fraction form
    10,814.56/16,219.68 = 3,023.44/x
  3. Step 3: Cross multiply
    10,814.56x = 16,219.68 × 3,023.44
  4. Step 4: Simplify right side
    10,814.56x = 49,039,229.30
  5. Step 5: Solve for x
    x = 49,039,229.30/10,814.56
  6. Step 6: Final answer
    x = 4,534.56

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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.