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Finding the Fourth Proportional to 8,049.14, 12,074.31 and 2,783.93

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Solution

The fourth proportional to 8,049.14, 12,074.31 and 2,783.93 is: 4,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.14 : 12,074.31 = 2,783.93 : x
  2. Step 2: Convert to fraction form
    8,049.14/12,074.31 = 2,783.93/x
  3. Step 3: Cross multiply
    8,049.14x = 12,074.31 × 2,783.93
  4. Step 4: Simplify right side
    8,049.14x = 33,614,019.92
  5. Step 5: Solve for x
    x = 33,614,019.92/8,049.14
  6. Step 6: Final answer
    x = 4,176.10

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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.