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Finding the Fourth Proportional to 8,004.68, 12,009.05 and 3,074.67

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Solution

The fourth proportional to 8,004.68, 12,009.05 and 3,074.67 is: 4,612.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.68 : 12,009.05 = 3,074.67 : x
  2. Step 2: Convert to fraction form
    8,004.68/12,009.05 = 3,074.67/x
  3. Step 3: Cross multiply
    8,004.68x = 12,009.05 × 3,074.67
  4. Step 4: Simplify right side
    8,004.68x = 36,923,850.39
  5. Step 5: Solve for x
    x = 36,923,850.39/8,004.68
  6. Step 6: Final answer
    x = 4,612.79

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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.