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Finding the Fourth Proportional to 8,311.86, 12,470.15 and 3,385.03

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Solution

The fourth proportional to 8,311.86, 12,470.15 and 3,385.03 is: 5,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.86 : 12,470.15 = 3,385.03 : x
  2. Step 2: Convert to fraction form
    8,311.86/12,470.15 = 3,385.03/x
  3. Step 3: Cross multiply
    8,311.86x = 12,470.15 × 3,385.03
  4. Step 4: Simplify right side
    8,311.86x = 42,211,831.85
  5. Step 5: Solve for x
    x = 42,211,831.85/8,311.86
  6. Step 6: Final answer
    x = 5,078.51

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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.