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Finding the Fourth Proportional to 10,072.44, 15,107.46 and 2,677.44

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Solution

The fourth proportional to 10,072.44, 15,107.46 and 2,677.44 is: 4,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.44 : 15,107.46 = 2,677.44 : x
  2. Step 2: Convert to fraction form
    10,072.44/15,107.46 = 2,677.44/x
  3. Step 3: Cross multiply
    10,072.44x = 15,107.46 × 2,677.44
  4. Step 4: Simplify right side
    10,072.44x = 40,449,317.70
  5. Step 5: Solve for x
    x = 40,449,317.70/10,072.44
  6. Step 6: Final answer
    x = 4,015.84

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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.