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Finding the Fourth Proportional to 7,081.28, 9,782.16 and 5,674.31

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Solution

The fourth proportional to 7,081.28, 9,782.16 and 5,674.31 is: 7,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.28 : 9,782.16 = 5,674.31 : x
  2. Step 2: Convert to fraction form
    7,081.28/9,782.16 = 5,674.31/x
  3. Step 3: Cross multiply
    7,081.28x = 9,782.16 × 5,674.31
  4. Step 4: Simplify right side
    7,081.28x = 55,507,008.31
  5. Step 5: Solve for x
    x = 55,507,008.31/7,081.28
  6. Step 6: Final answer
    x = 7,838.56

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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.