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Finding the Fourth Proportional to 7,409.96, 10,235.72 and 5,928.47

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Solution

The fourth proportional to 7,409.96, 10,235.72 and 5,928.47 is: 8,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.96 : 10,235.72 = 5,928.47 : x
  2. Step 2: Convert to fraction form
    7,409.96/10,235.72 = 5,928.47/x
  3. Step 3: Cross multiply
    7,409.96x = 10,235.72 × 5,928.47
  4. Step 4: Simplify right side
    7,409.96x = 60,682,122.59
  5. Step 5: Solve for x
    x = 60,682,122.59/7,409.96
  6. Step 6: Final answer
    x = 8,189.27

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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.