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Finding the Fourth Proportional to 8,511.38, 12,768.64 and 3,831.50

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Solution

The fourth proportional to 8,511.38, 12,768.64 and 3,831.50 is: 5,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.38 : 12,768.64 = 3,831.50 : x
  2. Step 2: Convert to fraction form
    8,511.38/12,768.64 = 3,831.50/x
  3. Step 3: Cross multiply
    8,511.38x = 12,768.64 × 3,831.50
  4. Step 4: Simplify right side
    8,511.38x = 48,923,066.50
  5. Step 5: Solve for x
    x = 48,923,066.50/8,511.38
  6. Step 6: Final answer
    x = 5,747.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.