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Finding the Fourth Proportional to 7,129.49, 10,698.82 and 3,844.87

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Solution

The fourth proportional to 7,129.49, 10,698.82 and 3,844.87 is: 5,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.49 : 10,698.82 = 3,844.87 : x
  2. Step 2: Convert to fraction form
    7,129.49/10,698.82 = 3,844.87/x
  3. Step 3: Cross multiply
    7,129.49x = 10,698.82 × 3,844.87
  4. Step 4: Simplify right side
    7,129.49x = 41,135,535.69
  5. Step 5: Solve for x
    x = 41,135,535.69/7,129.49
  6. Step 6: Final answer
    x = 5,769.78

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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.