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Finding the Fourth Proportional to 8,494.44, 12,749.76 and 5,213.94

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Solution

The fourth proportional to 8,494.44, 12,749.76 and 5,213.94 is: 7,825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.44 : 12,749.76 = 5,213.94 : x
  2. Step 2: Convert to fraction form
    8,494.44/12,749.76 = 5,213.94/x
  3. Step 3: Cross multiply
    8,494.44x = 12,749.76 × 5,213.94
  4. Step 4: Simplify right side
    8,494.44x = 66,476,483.65
  5. Step 5: Solve for x
    x = 66,476,483.65/8,494.44
  6. Step 6: Final answer
    x = 7,825.88

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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.