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Finding the Fourth Proportional to 7,273.50, 10,907.70 and 2,889.78

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Solution

The fourth proportional to 7,273.50, 10,907.70 and 2,889.78 is: 4,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,273.50 : 10,907.70 = 2,889.78 : x
  2. Step 2: Convert to fraction form
    7,273.50/10,907.70 = 2,889.78/x
  3. Step 3: Cross multiply
    7,273.50x = 10,907.70 × 2,889.78
  4. Step 4: Simplify right side
    7,273.50x = 31,520,853.31
  5. Step 5: Solve for x
    x = 31,520,853.31/7,273.50
  6. Step 6: Final answer
    x = 4,333.66

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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.