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Finding the Fourth Proportional to 8,011.72, 12,015.42 and 2,814.76

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Solution

The fourth proportional to 8,011.72, 12,015.42 and 2,814.76 is: 4,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.72 : 12,015.42 = 2,814.76 : x
  2. Step 2: Convert to fraction form
    8,011.72/12,015.42 = 2,814.76/x
  3. Step 3: Cross multiply
    8,011.72x = 12,015.42 × 2,814.76
  4. Step 4: Simplify right side
    8,011.72x = 33,820,523.60
  5. Step 5: Solve for x
    x = 33,820,523.60/8,011.72
  6. Step 6: Final answer
    x = 4,221.38

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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.