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Finding the Fourth Proportional to 7,751.04, 11,626.56 and 2,556.91

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Solution

The fourth proportional to 7,751.04, 11,626.56 and 2,556.91 is: 3,835.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.04 : 11,626.56 = 2,556.91 : x
  2. Step 2: Convert to fraction form
    7,751.04/11,626.56 = 2,556.91/x
  3. Step 3: Cross multiply
    7,751.04x = 11,626.56 × 2,556.91
  4. Step 4: Simplify right side
    7,751.04x = 29,728,054.75
  5. Step 5: Solve for x
    x = 29,728,054.75/7,751.04
  6. Step 6: Final answer
    x = 3,835.37

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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.