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Finding the Fourth Proportional to 7,451.94, 10,282.97 and 4,467.22

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Solution

The fourth proportional to 7,451.94, 10,282.97 and 4,467.22 is: 6,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.94 : 10,282.97 = 4,467.22 : x
  2. Step 2: Convert to fraction form
    7,451.94/10,282.97 = 4,467.22/x
  3. Step 3: Cross multiply
    7,451.94x = 10,282.97 × 4,467.22
  4. Step 4: Simplify right side
    7,451.94x = 45,936,289.24
  5. Step 5: Solve for x
    x = 45,936,289.24/7,451.94
  6. Step 6: Final answer
    x = 6,164.34

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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.