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Finding the Fourth Proportional to 10,190.81, 14,067.92 and 6,419.53

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Solution

The fourth proportional to 10,190.81, 14,067.92 and 6,419.53 is: 8,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.81 : 14,067.92 = 6,419.53 : x
  2. Step 2: Convert to fraction form
    10,190.81/14,067.92 = 6,419.53/x
  3. Step 3: Cross multiply
    10,190.81x = 14,067.92 × 6,419.53
  4. Step 4: Simplify right side
    10,190.81x = 90,309,383.41
  5. Step 5: Solve for x
    x = 90,309,383.41/10,190.81
  6. Step 6: Final answer
    x = 8,861.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.