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Finding the Fourth Proportional to 6,866.44, 10,302.73 and 3,166.68

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Solution

The fourth proportional to 6,866.44, 10,302.73 and 3,166.68 is: 4,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.44 : 10,302.73 = 3,166.68 : x
  2. Step 2: Convert to fraction form
    6,866.44/10,302.73 = 3,166.68/x
  3. Step 3: Cross multiply
    6,866.44x = 10,302.73 × 3,166.68
  4. Step 4: Simplify right side
    6,866.44x = 32,625,441.12
  5. Step 5: Solve for x
    x = 32,625,441.12/6,866.44
  6. Step 6: Final answer
    x = 4,751.44

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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.