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Finding the Fourth Proportional to 7,406.21, 10,217.09 and 5,282.21

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Solution

The fourth proportional to 7,406.21, 10,217.09 and 5,282.21 is: 7,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.21 : 10,217.09 = 5,282.21 : x
  2. Step 2: Convert to fraction form
    7,406.21/10,217.09 = 5,282.21/x
  3. Step 3: Cross multiply
    7,406.21x = 10,217.09 × 5,282.21
  4. Step 4: Simplify right side
    7,406.21x = 53,968,788.56
  5. Step 5: Solve for x
    x = 53,968,788.56/7,406.21
  6. Step 6: Final answer
    x = 7,286.96

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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.