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Finding the Fourth Proportional to 8,035.28, 12,025.92 and 7,728.56

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Solution

The fourth proportional to 8,035.28, 12,025.92 and 7,728.56 is: 11,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.28 : 12,025.92 = 7,728.56 : x
  2. Step 2: Convert to fraction form
    8,035.28/12,025.92 = 7,728.56/x
  3. Step 3: Cross multiply
    8,035.28x = 12,025.92 × 7,728.56
  4. Step 4: Simplify right side
    8,035.28x = 92,943,044.28
  5. Step 5: Solve for x
    x = 92,943,044.28/8,035.28
  6. Step 6: Final answer
    x = 11,566.87

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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.