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Finding the Fourth Proportional to 8,254.74, 12,382.83 and 3,635.22

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Solution

The fourth proportional to 8,254.74, 12,382.83 and 3,635.22 is: 5,453.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.74 : 12,382.83 = 3,635.22 : x
  2. Step 2: Convert to fraction form
    8,254.74/12,382.83 = 3,635.22/x
  3. Step 3: Cross multiply
    8,254.74x = 12,382.83 × 3,635.22
  4. Step 4: Simplify right side
    8,254.74x = 45,014,311.27
  5. Step 5: Solve for x
    x = 45,014,311.27/8,254.74
  6. Step 6: Final answer
    x = 5,453.15

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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.