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Finding the Fourth Proportional to 10,744.58, 16,107.14 and 3,817.46

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Solution

The fourth proportional to 10,744.58, 16,107.14 and 3,817.46 is: 5,722.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.58 : 16,107.14 = 3,817.46 : x
  2. Step 2: Convert to fraction form
    10,744.58/16,107.14 = 3,817.46/x
  3. Step 3: Cross multiply
    10,744.58x = 16,107.14 × 3,817.46
  4. Step 4: Simplify right side
    10,744.58x = 61,488,291.67
  5. Step 5: Solve for x
    x = 61,488,291.67/10,744.58
  6. Step 6: Final answer
    x = 5,722.73

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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.