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Finding the Fourth Proportional to 7,034.54, 10,556.01 and 3,747.65

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Solution

The fourth proportional to 7,034.54, 10,556.01 and 3,747.65 is: 5,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.54 : 10,556.01 = 3,747.65 : x
  2. Step 2: Convert to fraction form
    7,034.54/10,556.01 = 3,747.65/x
  3. Step 3: Cross multiply
    7,034.54x = 10,556.01 × 3,747.65
  4. Step 4: Simplify right side
    7,034.54x = 39,560,178.10
  5. Step 5: Solve for x
    x = 39,560,178.10/7,034.54
  6. Step 6: Final answer
    x = 5,623.71

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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.