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Finding the Fourth Proportional to 6,771.83, 10,157.73 and 1,842.19

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Solution

The fourth proportional to 6,771.83, 10,157.73 and 1,842.19 is: 2,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.83 : 10,157.73 = 1,842.19 : x
  2. Step 2: Convert to fraction form
    6,771.83/10,157.73 = 1,842.19/x
  3. Step 3: Cross multiply
    6,771.83x = 10,157.73 × 1,842.19
  4. Step 4: Simplify right side
    6,771.83x = 18,712,468.63
  5. Step 5: Solve for x
    x = 18,712,468.63/6,771.83
  6. Step 6: Final answer
    x = 2,763.28

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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.