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Finding the Fourth Proportional to 7,847.82, 11,769.36 and 3,166.32

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Solution

The fourth proportional to 7,847.82, 11,769.36 and 3,166.32 is: 4,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.82 : 11,769.36 = 3,166.32 : x
  2. Step 2: Convert to fraction form
    7,847.82/11,769.36 = 3,166.32/x
  3. Step 3: Cross multiply
    7,847.82x = 11,769.36 × 3,166.32
  4. Step 4: Simplify right side
    7,847.82x = 37,265,559.96
  5. Step 5: Solve for x
    x = 37,265,559.96/7,847.82
  6. Step 6: Final answer
    x = 4,748.52

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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.