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Finding the Fourth Proportional to 7,115.50, 10,673.25 and 1,921.38

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Solution

The fourth proportional to 7,115.50, 10,673.25 and 1,921.38 is: 2,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.50 : 10,673.25 = 1,921.38 : x
  2. Step 2: Convert to fraction form
    7,115.50/10,673.25 = 1,921.38/x
  3. Step 3: Cross multiply
    7,115.50x = 10,673.25 × 1,921.38
  4. Step 4: Simplify right side
    7,115.50x = 20,507,369.09
  5. Step 5: Solve for x
    x = 20,507,369.09/7,115.50
  6. Step 6: Final answer
    x = 2,882.07

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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.