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Finding the Fourth Proportional to 7,208.42, 10,814.43 and 2,014.25

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Solution

The fourth proportional to 7,208.42, 10,814.43 and 2,014.25 is: 3,021.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.42 : 10,814.43 = 2,014.25 : x
  2. Step 2: Convert to fraction form
    7,208.42/10,814.43 = 2,014.25/x
  3. Step 3: Cross multiply
    7,208.42x = 10,814.43 × 2,014.25
  4. Step 4: Simplify right side
    7,208.42x = 21,782,965.63
  5. Step 5: Solve for x
    x = 21,782,965.63/7,208.42
  6. Step 6: Final answer
    x = 3,021.88

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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.