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Finding the Fourth Proportional to 10,744.95, 16,107.71 and 3,817.83

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Solution

The fourth proportional to 10,744.95, 16,107.71 and 3,817.83 is: 5,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.95 : 16,107.71 = 3,817.83 : x
  2. Step 2: Convert to fraction form
    10,744.95/16,107.71 = 3,817.83/x
  3. Step 3: Cross multiply
    10,744.95x = 16,107.71 × 3,817.83
  4. Step 4: Simplify right side
    10,744.95x = 61,496,479.38
  5. Step 5: Solve for x
    x = 61,496,479.38/10,744.95
  6. Step 6: Final answer
    x = 5,723.29

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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.