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Finding the Fourth Proportional to 8,151.50, 12,219.04 and 3,219.23

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Solution

The fourth proportional to 8,151.50, 12,219.04 and 3,219.23 is: 4,825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.50 : 12,219.04 = 3,219.23 : x
  2. Step 2: Convert to fraction form
    8,151.50/12,219.04 = 3,219.23/x
  3. Step 3: Cross multiply
    8,151.50x = 12,219.04 × 3,219.23
  4. Step 4: Simplify right side
    8,151.50x = 39,335,831.00
  5. Step 5: Solve for x
    x = 39,335,831.00/8,151.50
  6. Step 6: Final answer
    x = 4,825.60

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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.