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Finding the Fourth Proportional to 8,012.64, 12,016.34 and 2,674.40

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Solution

The fourth proportional to 8,012.64, 12,016.34 and 2,674.40 is: 4,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.64 : 12,016.34 = 2,674.40 : x
  2. Step 2: Convert to fraction form
    8,012.64/12,016.34 = 2,674.40/x
  3. Step 3: Cross multiply
    8,012.64x = 12,016.34 × 2,674.40
  4. Step 4: Simplify right side
    8,012.64x = 32,136,499.70
  5. Step 5: Solve for x
    x = 32,136,499.70/8,012.64
  6. Step 6: Final answer
    x = 4,010.73

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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.