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Finding the Fourth Proportional to 8,014.26, 12,012.72 and 2,744.40

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Solution

The fourth proportional to 8,014.26, 12,012.72 and 2,744.40 is: 4,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.26 : 12,012.72 = 2,744.40 : x
  2. Step 2: Convert to fraction form
    8,014.26/12,012.72 = 2,744.40/x
  3. Step 3: Cross multiply
    8,014.26x = 12,012.72 × 2,744.40
  4. Step 4: Simplify right side
    8,014.26x = 32,967,708.77
  5. Step 5: Solve for x
    x = 32,967,708.77/8,014.26
  6. Step 6: Final answer
    x = 4,113.63

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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.