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Finding the Fourth Proportional to 13,850.28, 19,113.96 and 7,883

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Solution

The fourth proportional to 13,850.28, 19,113.96 and 7,883 is: 10,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.28 : 19,113.96 = 7,883 : x
  2. Step 2: Convert to fraction form
    13,850.28/19,113.96 = 7,883/x
  3. Step 3: Cross multiply
    13,850.28x = 19,113.96 × 7,883
  4. Step 4: Simplify right side
    13,850.28x = 150,675,346.68
  5. Step 5: Solve for x
    x = 150,675,346.68/13,850.28
  6. Step 6: Final answer
    x = 10,878.87

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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.