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Finding the Fourth Proportional to 10,814.41, 16,224.50 and 3,419.01

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Solution

The fourth proportional to 10,814.41, 16,224.50 and 3,419.01 is: 5,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.41 : 16,224.50 = 3,419.01 : x
  2. Step 2: Convert to fraction form
    10,814.41/16,224.50 = 3,419.01/x
  3. Step 3: Cross multiply
    10,814.41x = 16,224.50 × 3,419.01
  4. Step 4: Simplify right side
    10,814.41x = 55,471,736.29
  5. Step 5: Solve for x
    x = 55,471,736.29/10,814.41
  6. Step 6: Final answer
    x = 5,129.43

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Why These Related Problems?

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