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Finding the Fourth Proportional to 7,268.56, 10,031.92 and 4,284.22

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Solution

The fourth proportional to 7,268.56, 10,031.92 and 4,284.22 is: 5,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268.56 : 10,031.92 = 4,284.22 : x
  2. Step 2: Convert to fraction form
    7,268.56/10,031.92 = 4,284.22/x
  3. Step 3: Cross multiply
    7,268.56x = 10,031.92 × 4,284.22
  4. Step 4: Simplify right side
    7,268.56x = 42,978,880.72
  5. Step 5: Solve for x
    x = 42,978,880.72/7,268.56
  6. Step 6: Final answer
    x = 5,912.99

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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.