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Finding the Fourth Proportional to 8,116.82, 11,201.74 and 4,578.74

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Solution

The fourth proportional to 8,116.82, 11,201.74 and 4,578.74 is: 6,318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.82 : 11,201.74 = 4,578.74 : x
  2. Step 2: Convert to fraction form
    8,116.82/11,201.74 = 4,578.74/x
  3. Step 3: Cross multiply
    8,116.82x = 11,201.74 × 4,578.74
  4. Step 4: Simplify right side
    8,116.82x = 51,289,855.01
  5. Step 5: Solve for x
    x = 51,289,855.01/8,116.82
  6. Step 6: Final answer
    x = 6,318.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.