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Finding the Fourth Proportional to 7,804.26, 10,769.73 and 4,267.46

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Solution

The fourth proportional to 7,804.26, 10,769.73 and 4,267.46 is: 5,889.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.26 : 10,769.73 = 4,267.46 : x
  2. Step 2: Convert to fraction form
    7,804.26/10,769.73 = 4,267.46/x
  3. Step 3: Cross multiply
    7,804.26x = 10,769.73 × 4,267.46
  4. Step 4: Simplify right side
    7,804.26x = 45,959,391.99
  5. Step 5: Solve for x
    x = 45,959,391.99/7,804.26
  6. Step 6: Final answer
    x = 5,889.01

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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.