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Finding the Fourth Proportional to 8,022.56, 12,035.32 and 2,474.84

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Solution

The fourth proportional to 8,022.56, 12,035.32 and 2,474.84 is: 3,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.56 : 12,035.32 = 2,474.84 : x
  2. Step 2: Convert to fraction form
    8,022.56/12,035.32 = 2,474.84/x
  3. Step 3: Cross multiply
    8,022.56x = 12,035.32 × 2,474.84
  4. Step 4: Simplify right side
    8,022.56x = 29,785,491.35
  5. Step 5: Solve for x
    x = 29,785,491.35/8,022.56
  6. Step 6: Final answer
    x = 3,712.72

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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.