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Finding the Fourth Proportional to 7,213.56, 10,816.24 and 2,284.44

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Solution

The fourth proportional to 7,213.56, 10,816.24 and 2,284.44 is: 3,425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.56 : 10,816.24 = 2,284.44 : x
  2. Step 2: Convert to fraction form
    7,213.56/10,816.24 = 2,284.44/x
  3. Step 3: Cross multiply
    7,213.56x = 10,816.24 × 2,284.44
  4. Step 4: Simplify right side
    7,213.56x = 24,709,051.31
  5. Step 5: Solve for x
    x = 24,709,051.31/7,213.56
  6. Step 6: Final answer
    x = 3,425.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.