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Finding the Fourth Proportional to 7,766.46, 11,639.31 and 2,831.46

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Solution

The fourth proportional to 7,766.46, 11,639.31 and 2,831.46 is: 4,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.46 : 11,639.31 = 2,831.46 : x
  2. Step 2: Convert to fraction form
    7,766.46/11,639.31 = 2,831.46/x
  3. Step 3: Cross multiply
    7,766.46x = 11,639.31 × 2,831.46
  4. Step 4: Simplify right side
    7,766.46x = 32,956,240.69
  5. Step 5: Solve for x
    x = 32,956,240.69/7,766.46
  6. Step 6: Final answer
    x = 4,243.41

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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.