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Finding the Fourth Proportional to 7,269, 10,903.86 and 2,338.26

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Solution

The fourth proportional to 7,269, 10,903.86 and 2,338.26 is: 3,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269 : 10,903.86 = 2,338.26 : x
  2. Step 2: Convert to fraction form
    7,269/10,903.86 = 2,338.26/x
  3. Step 3: Cross multiply
    7,269x = 10,903.86 × 2,338.26
  4. Step 4: Simplify right side
    7,269x = 25,496,059.68
  5. Step 5: Solve for x
    x = 25,496,059.68/7,269
  6. Step 6: Final answer
    x = 3,507.51

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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.