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Finding the Fourth Proportional to 7,327.46, 10,988.46 and 2,943.44

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Solution

The fourth proportional to 7,327.46, 10,988.46 and 2,943.44 is: 4,414.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,327.46 : 10,988.46 = 2,943.44 : x
  2. Step 2: Convert to fraction form
    7,327.46/10,988.46 = 2,943.44/x
  3. Step 3: Cross multiply
    7,327.46x = 10,988.46 × 2,943.44
  4. Step 4: Simplify right side
    7,327.46x = 32,343,858.97
  5. Step 5: Solve for x
    x = 32,343,858.97/7,327.46
  6. Step 6: Final answer
    x = 4,414.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.