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Finding the Fourth Proportional to 8,014.72, 12,019.92 and 2,817.76

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Solution

The fourth proportional to 8,014.72, 12,019.92 and 2,817.76 is: 4,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.72 : 12,019.92 = 2,817.76 : x
  2. Step 2: Convert to fraction form
    8,014.72/12,019.92 = 2,817.76/x
  3. Step 3: Cross multiply
    8,014.72x = 12,019.92 × 2,817.76
  4. Step 4: Simplify right side
    8,014.72x = 33,869,249.78
  5. Step 5: Solve for x
    x = 33,869,249.78/8,014.72
  6. Step 6: Final answer
    x = 4,225.88

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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.