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Finding the Fourth Proportional to 10,814.51, 16,220.37 and 3,419.72

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Solution

The fourth proportional to 10,814.51, 16,220.37 and 3,419.72 is: 5,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.51 : 16,220.37 = 3,419.72 : x
  2. Step 2: Convert to fraction form
    10,814.51/16,220.37 = 3,419.72/x
  3. Step 3: Cross multiply
    10,814.51x = 16,220.37 × 3,419.72
  4. Step 4: Simplify right side
    10,814.51x = 55,469,123.70
  5. Step 5: Solve for x
    x = 55,469,123.70/10,814.51
  6. Step 6: Final answer
    x = 5,129.14

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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.