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Finding the Fourth Proportional to 10,078, 15,117 and 3,922

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Solution

The fourth proportional to 10,078, 15,117 and 3,922 is: 5,883

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078 : 15,117 = 3,922 : x
  2. Step 2: Convert to fraction form
    10,078/15,117 = 3,922/x
  3. Step 3: Cross multiply
    10,078x = 15,117 × 3,922
  4. Step 4: Simplify right side
    10,078x = 59,288,874
  5. Step 5: Solve for x
    x = 59,288,874/10,078
  6. Step 6: Final answer
    x = 5,883

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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.