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Finding the Fourth Proportional to 7,241.94, 10,853.19 and 3,950.10

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Solution

The fourth proportional to 7,241.94, 10,853.19 and 3,950.10 is: 5,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.94 : 10,853.19 = 3,950.10 : x
  2. Step 2: Convert to fraction form
    7,241.94/10,853.19 = 3,950.10/x
  3. Step 3: Cross multiply
    7,241.94x = 10,853.19 × 3,950.10
  4. Step 4: Simplify right side
    7,241.94x = 42,871,185.82
  5. Step 5: Solve for x
    x = 42,871,185.82/7,241.94
  6. Step 6: Final answer
    x = 5,919.85

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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.