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Finding the Fourth Proportional to 8,188.45, 12,289.02 and 5,414.20

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Solution

The fourth proportional to 8,188.45, 12,289.02 and 5,414.20 is: 8,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.45 : 12,289.02 = 5,414.20 : x
  2. Step 2: Convert to fraction form
    8,188.45/12,289.02 = 5,414.20/x
  3. Step 3: Cross multiply
    8,188.45x = 12,289.02 × 5,414.20
  4. Step 4: Simplify right side
    8,188.45x = 66,535,212.08
  5. Step 5: Solve for x
    x = 66,535,212.08/8,188.45
  6. Step 6: Final answer
    x = 8,125.50

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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.