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Finding the Fourth Proportional to 7,240.75, 10,861.25 and 2,858.17

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Solution

The fourth proportional to 7,240.75, 10,861.25 and 2,858.17 is: 4,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.75 : 10,861.25 = 2,858.17 : x
  2. Step 2: Convert to fraction form
    7,240.75/10,861.25 = 2,858.17/x
  3. Step 3: Cross multiply
    7,240.75x = 10,861.25 × 2,858.17
  4. Step 4: Simplify right side
    7,240.75x = 31,043,284.62
  5. Step 5: Solve for x
    x = 31,043,284.62/7,240.75
  6. Step 6: Final answer
    x = 4,287.30

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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.