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Finding the Fourth Proportional to 8,205.75, 11,323.83 and 4,668.95

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Solution

The fourth proportional to 8,205.75, 11,323.83 and 4,668.95 is: 6,443.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.75 : 11,323.83 = 4,668.95 : x
  2. Step 2: Convert to fraction form
    8,205.75/11,323.83 = 4,668.95/x
  3. Step 3: Cross multiply
    8,205.75x = 11,323.83 × 4,668.95
  4. Step 4: Simplify right side
    8,205.75x = 52,870,424.39
  5. Step 5: Solve for x
    x = 52,870,424.39/8,205.75
  6. Step 6: Final answer
    x = 6,443.09

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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.