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Finding the Fourth Proportional to 8,017.20, 11,996.22 and 4,856.46

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Solution

The fourth proportional to 8,017.20, 11,996.22 and 4,856.46 is: 7,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017.20 : 11,996.22 = 4,856.46 : x
  2. Step 2: Convert to fraction form
    8,017.20/11,996.22 = 4,856.46/x
  3. Step 3: Cross multiply
    8,017.20x = 11,996.22 × 4,856.46
  4. Step 4: Simplify right side
    8,017.20x = 58,259,162.58
  5. Step 5: Solve for x
    x = 58,259,162.58/8,017.20
  6. Step 6: Final answer
    x = 7,266.77

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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.