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Finding the Fourth Proportional to 10,226.28, 15,339.72 and 2,831.28

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Solution

The fourth proportional to 10,226.28, 15,339.72 and 2,831.28 is: 4,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.28 : 15,339.72 = 2,831.28 : x
  2. Step 2: Convert to fraction form
    10,226.28/15,339.72 = 2,831.28/x
  3. Step 3: Cross multiply
    10,226.28x = 15,339.72 × 2,831.28
  4. Step 4: Simplify right side
    10,226.28x = 43,431,042.44
  5. Step 5: Solve for x
    x = 43,431,042.44/10,226.28
  6. Step 6: Final answer
    x = 4,247.00

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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.