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Finding the Fourth Proportional to 7,694.62, 10,617.93 and 4,338.26

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Solution

The fourth proportional to 7,694.62, 10,617.93 and 4,338.26 is: 5,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.62 : 10,617.93 = 4,338.26 : x
  2. Step 2: Convert to fraction form
    7,694.62/10,617.93 = 4,338.26/x
  3. Step 3: Cross multiply
    7,694.62x = 10,617.93 × 4,338.26
  4. Step 4: Simplify right side
    7,694.62x = 46,063,316.17
  5. Step 5: Solve for x
    x = 46,063,316.17/7,694.62
  6. Step 6: Final answer
    x = 5,986.43

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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.