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Finding the Fourth Proportional to 8,482.28, 12,725.12 and 2,638.64

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Solution

The fourth proportional to 8,482.28, 12,725.12 and 2,638.64 is: 3,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.28 : 12,725.12 = 2,638.64 : x
  2. Step 2: Convert to fraction form
    8,482.28/12,725.12 = 2,638.64/x
  3. Step 3: Cross multiply
    8,482.28x = 12,725.12 × 2,638.64
  4. Step 4: Simplify right side
    8,482.28x = 33,577,010.64
  5. Step 5: Solve for x
    x = 33,577,010.64/8,482.28
  6. Step 6: Final answer
    x = 3,958.49

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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.