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Finding the Fourth Proportional to 7,524.44, 10,384.70 and 4,213.08

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Solution

The fourth proportional to 7,524.44, 10,384.70 and 4,213.08 is: 5,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.44 : 10,384.70 = 4,213.08 : x
  2. Step 2: Convert to fraction form
    7,524.44/10,384.70 = 4,213.08/x
  3. Step 3: Cross multiply
    7,524.44x = 10,384.70 × 4,213.08
  4. Step 4: Simplify right side
    7,524.44x = 43,751,571.88
  5. Step 5: Solve for x
    x = 43,751,571.88/7,524.44
  6. Step 6: Final answer
    x = 5,814.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.