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Finding the Fourth Proportional to 6,750.28, 10,129.20 and 2,857.60

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Solution

The fourth proportional to 6,750.28, 10,129.20 and 2,857.60 is: 4,288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.28 : 10,129.20 = 2,857.60 : x
  2. Step 2: Convert to fraction form
    6,750.28/10,129.20 = 2,857.60/x
  3. Step 3: Cross multiply
    6,750.28x = 10,129.20 × 2,857.60
  4. Step 4: Simplify right side
    6,750.28x = 28,945,201.92
  5. Step 5: Solve for x
    x = 28,945,201.92/6,750.28
  6. Step 6: Final answer
    x = 4,288.00

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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.