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Finding the Fourth Proportional to 10,814.70, 16,221.24 and 3,419.40

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Solution

The fourth proportional to 10,814.70, 16,221.24 and 3,419.40 is: 5,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.70 : 16,221.24 = 3,419.40 : x
  2. Step 2: Convert to fraction form
    10,814.70/16,221.24 = 3,419.40/x
  3. Step 3: Cross multiply
    10,814.70x = 16,221.24 × 3,419.40
  4. Step 4: Simplify right side
    10,814.70x = 55,466,908.06
  5. Step 5: Solve for x
    x = 55,466,908.06/10,814.70
  6. Step 6: Final answer
    x = 5,128.84

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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.