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Finding the Fourth Proportional to 8,354.68, 12,524.56 and 3,164.20

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Solution

The fourth proportional to 8,354.68, 12,524.56 and 3,164.20 is: 4,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.68 : 12,524.56 = 3,164.20 : x
  2. Step 2: Convert to fraction form
    8,354.68/12,524.56 = 3,164.20/x
  3. Step 3: Cross multiply
    8,354.68x = 12,524.56 × 3,164.20
  4. Step 4: Simplify right side
    8,354.68x = 39,630,212.75
  5. Step 5: Solve for x
    x = 39,630,212.75/8,354.68
  6. Step 6: Final answer
    x = 4,743.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.