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Finding the Fourth Proportional to 10,289.73, 14,198.99 and 5,813.88

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Solution

The fourth proportional to 10,289.73, 14,198.99 and 5,813.88 is: 8,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.73 : 14,198.99 = 5,813.88 : x
  2. Step 2: Convert to fraction form
    10,289.73/14,198.99 = 5,813.88/x
  3. Step 3: Cross multiply
    10,289.73x = 14,198.99 × 5,813.88
  4. Step 4: Simplify right side
    10,289.73x = 82,551,223.98
  5. Step 5: Solve for x
    x = 82,551,223.98/10,289.73
  6. Step 6: Final answer
    x = 8,022.68

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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.