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Finding the Fourth Proportional to 7,121.61, 10,682.37 and 3,836.25

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Solution

The fourth proportional to 7,121.61, 10,682.37 and 3,836.25 is: 5,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.61 : 10,682.37 = 3,836.25 : x
  2. Step 2: Convert to fraction form
    7,121.61/10,682.37 = 3,836.25/x
  3. Step 3: Cross multiply
    7,121.61x = 10,682.37 × 3,836.25
  4. Step 4: Simplify right side
    7,121.61x = 40,980,241.91
  5. Step 5: Solve for x
    x = 40,980,241.91/7,121.61
  6. Step 6: Final answer
    x = 5,754.35

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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.