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Finding the Fourth Proportional to 7,410.33, 10,236.24 and 5,928.84

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Solution

The fourth proportional to 7,410.33, 10,236.24 and 5,928.84 is: 8,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.33 : 10,236.24 = 5,928.84 : x
  2. Step 2: Convert to fraction form
    7,410.33/10,236.24 = 5,928.84/x
  3. Step 3: Cross multiply
    7,410.33x = 10,236.24 × 5,928.84
  4. Step 4: Simplify right side
    7,410.33x = 60,689,029.16
  5. Step 5: Solve for x
    x = 60,689,029.16/7,410.33
  6. Step 6: Final answer
    x = 8,189.79

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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.