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Finding the Fourth Proportional to 7,453.38, 10,280.97 and 4,467.18

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Solution

The fourth proportional to 7,453.38, 10,280.97 and 4,467.18 is: 6,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.38 : 10,280.97 = 4,467.18 : x
  2. Step 2: Convert to fraction form
    7,453.38/10,280.97 = 4,467.18/x
  3. Step 3: Cross multiply
    7,453.38x = 10,280.97 × 4,467.18
  4. Step 4: Simplify right side
    7,453.38x = 45,926,943.56
  5. Step 5: Solve for x
    x = 45,926,943.56/7,453.38
  6. Step 6: Final answer
    x = 6,161.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.