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Finding the Fourth Proportional to 8,399.76, 12,591 and 3,204.24

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Solution

The fourth proportional to 8,399.76, 12,591 and 3,204.24 is: 4,803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.76 : 12,591 = 3,204.24 : x
  2. Step 2: Convert to fraction form
    8,399.76/12,591 = 3,204.24/x
  3. Step 3: Cross multiply
    8,399.76x = 12,591 × 3,204.24
  4. Step 4: Simplify right side
    8,399.76x = 40,344,585.84
  5. Step 5: Solve for x
    x = 40,344,585.84/8,399.76
  6. Step 6: Final answer
    x = 4,803.06

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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.