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Finding the Fourth Proportional to 7,190.28, 10,782.42 and 3,032.16

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Solution

The fourth proportional to 7,190.28, 10,782.42 and 3,032.16 is: 4,546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.28 : 10,782.42 = 3,032.16 : x
  2. Step 2: Convert to fraction form
    7,190.28/10,782.42 = 3,032.16/x
  3. Step 3: Cross multiply
    7,190.28x = 10,782.42 × 3,032.16
  4. Step 4: Simplify right side
    7,190.28x = 32,694,022.63
  5. Step 5: Solve for x
    x = 32,694,022.63/7,190.28
  6. Step 6: Final answer
    x = 4,546.97

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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.