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Finding the Fourth Proportional to 10,289.97, 14,199.93 and 5,813.73

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Solution

The fourth proportional to 10,289.97, 14,199.93 and 5,813.73 is: 8,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.97 : 14,199.93 = 5,813.73 : x
  2. Step 2: Convert to fraction form
    10,289.97/14,199.93 = 5,813.73/x
  3. Step 3: Cross multiply
    10,289.97x = 14,199.93 × 5,813.73
  4. Step 4: Simplify right side
    10,289.97x = 82,554,559.04
  5. Step 5: Solve for x
    x = 82,554,559.04/10,289.97
  6. Step 6: Final answer
    x = 8,022.82

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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.