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Finding the Fourth Proportional to 6,903, 10,338.03 and 3,975.17

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Solution

The fourth proportional to 6,903, 10,338.03 and 3,975.17 is: 5,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903 : 10,338.03 = 3,975.17 : x
  2. Step 2: Convert to fraction form
    6,903/10,338.03 = 3,975.17/x
  3. Step 3: Cross multiply
    6,903x = 10,338.03 × 3,975.17
  4. Step 4: Simplify right side
    6,903x = 41,095,375.02
  5. Step 5: Solve for x
    x = 41,095,375.02/6,903
  6. Step 6: Final answer
    x = 5,953.26

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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.