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Finding the Fourth Proportional to 7,741.29, 10,682.91 and 4,204.29

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Solution

The fourth proportional to 7,741.29, 10,682.91 and 4,204.29 is: 5,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.29 : 10,682.91 = 4,204.29 : x
  2. Step 2: Convert to fraction form
    7,741.29/10,682.91 = 4,204.29/x
  3. Step 3: Cross multiply
    7,741.29x = 10,682.91 × 4,204.29
  4. Step 4: Simplify right side
    7,741.29x = 44,914,051.68
  5. Step 5: Solve for x
    x = 44,914,051.68/7,741.29
  6. Step 6: Final answer
    x = 5,801.88

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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.