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Finding the Fourth Proportional to 6,865.28, 10,299.72 and 2,968.76

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Solution

The fourth proportional to 6,865.28, 10,299.72 and 2,968.76 is: 4,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.28 : 10,299.72 = 2,968.76 : x
  2. Step 2: Convert to fraction form
    6,865.28/10,299.72 = 2,968.76/x
  3. Step 3: Cross multiply
    6,865.28x = 10,299.72 × 2,968.76
  4. Step 4: Simplify right side
    6,865.28x = 30,577,396.75
  5. Step 5: Solve for x
    x = 30,577,396.75/6,865.28
  6. Step 6: Final answer
    x = 4,453.92

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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.