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Finding the Fourth Proportional to 7,175.27, 10,763.93 and 3,474.46

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Solution

The fourth proportional to 7,175.27, 10,763.93 and 3,474.46 is: 5,212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.27 : 10,763.93 = 3,474.46 : x
  2. Step 2: Convert to fraction form
    7,175.27/10,763.93 = 3,474.46/x
  3. Step 3: Cross multiply
    7,175.27x = 10,763.93 × 3,474.46
  4. Step 4: Simplify right side
    7,175.27x = 37,398,844.23
  5. Step 5: Solve for x
    x = 37,398,844.23/7,175.27
  6. Step 6: Final answer
    x = 5,212.19

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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.