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Finding the Fourth Proportional to 8,047.14, 12,074.82 and 3,835.15

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Solution

The fourth proportional to 8,047.14, 12,074.82 and 3,835.15 is: 5,754.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.14 : 12,074.82 = 3,835.15 : x
  2. Step 2: Convert to fraction form
    8,047.14/12,074.82 = 3,835.15/x
  3. Step 3: Cross multiply
    8,047.14x = 12,074.82 × 3,835.15
  4. Step 4: Simplify right side
    8,047.14x = 46,308,745.92
  5. Step 5: Solve for x
    x = 46,308,745.92/8,047.14
  6. Step 6: Final answer
    x = 5,754.69

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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.