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Finding the Fourth Proportional to 7,794.22, 11,687 and 2,597.26

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Solution

The fourth proportional to 7,794.22, 11,687 and 2,597.26 is: 3,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.22 : 11,687 = 2,597.26 : x
  2. Step 2: Convert to fraction form
    7,794.22/11,687 = 2,597.26/x
  3. Step 3: Cross multiply
    7,794.22x = 11,687 × 2,597.26
  4. Step 4: Simplify right side
    7,794.22x = 30,354,177.62
  5. Step 5: Solve for x
    x = 30,354,177.62/7,794.22
  6. Step 6: Final answer
    x = 3,894.45

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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.