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Finding the Fourth Proportional to 8,087.94, 12,137.40 and 3,157.56

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Solution

The fourth proportional to 8,087.94, 12,137.40 and 3,157.56 is: 4,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,087.94 : 12,137.40 = 3,157.56 : x
  2. Step 2: Convert to fraction form
    8,087.94/12,137.40 = 3,157.56/x
  3. Step 3: Cross multiply
    8,087.94x = 12,137.40 × 3,157.56
  4. Step 4: Simplify right side
    8,087.94x = 38,324,568.74
  5. Step 5: Solve for x
    x = 38,324,568.74/8,087.94
  6. Step 6: Final answer
    x = 4,738.48

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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.