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Finding the Fourth Proportional to 7,241.87, 10,862.60 and 2,311.80

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Solution

The fourth proportional to 7,241.87, 10,862.60 and 2,311.80 is: 3,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.87 : 10,862.60 = 2,311.80 : x
  2. Step 2: Convert to fraction form
    7,241.87/10,862.60 = 2,311.80/x
  3. Step 3: Cross multiply
    7,241.87x = 10,862.60 × 2,311.80
  4. Step 4: Simplify right side
    7,241.87x = 25,112,147.12
  5. Step 5: Solve for x
    x = 25,112,147.12/7,241.87
  6. Step 6: Final answer
    x = 3,467.64

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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.