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Finding the Fourth Proportional to 7,380.54, 11,074.86 and 3,163.41

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Solution

The fourth proportional to 7,380.54, 11,074.86 and 3,163.41 is: 4,746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.54 : 11,074.86 = 3,163.41 : x
  2. Step 2: Convert to fraction form
    7,380.54/11,074.86 = 3,163.41/x
  3. Step 3: Cross multiply
    7,380.54x = 11,074.86 × 3,163.41
  4. Step 4: Simplify right side
    7,380.54x = 35,034,322.87
  5. Step 5: Solve for x
    x = 35,034,322.87/7,380.54
  6. Step 6: Final answer
    x = 4,746.85

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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.