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Finding the Fourth Proportional to 10,104, 13,943.79 and 5,627.94

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Solution

The fourth proportional to 10,104, 13,943.79 and 5,627.94 is: 7,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104 : 13,943.79 = 5,627.94 : x
  2. Step 2: Convert to fraction form
    10,104/13,943.79 = 5,627.94/x
  3. Step 3: Cross multiply
    10,104x = 13,943.79 × 5,627.94
  4. Step 4: Simplify right side
    10,104x = 78,474,813.49
  5. Step 5: Solve for x
    x = 78,474,813.49/10,104
  6. Step 6: Final answer
    x = 7,766.71

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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.