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Finding the Fourth Proportional to 8,584.28, 12,880.52 and 4,199.34

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Solution

The fourth proportional to 8,584.28, 12,880.52 and 4,199.34 is: 6,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.28 : 12,880.52 = 4,199.34 : x
  2. Step 2: Convert to fraction form
    8,584.28/12,880.52 = 4,199.34/x
  3. Step 3: Cross multiply
    8,584.28x = 12,880.52 × 4,199.34
  4. Step 4: Simplify right side
    8,584.28x = 54,089,725.91
  5. Step 5: Solve for x
    x = 54,089,725.91/8,584.28
  6. Step 6: Final answer
    x = 6,301.02

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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.