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Finding the Fourth Proportional to 7,634.96, 11,452.60 and 4,164.88

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Solution

The fourth proportional to 7,634.96, 11,452.60 and 4,164.88 is: 6,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.96 : 11,452.60 = 4,164.88 : x
  2. Step 2: Convert to fraction form
    7,634.96/11,452.60 = 4,164.88/x
  3. Step 3: Cross multiply
    7,634.96x = 11,452.60 × 4,164.88
  4. Step 4: Simplify right side
    7,634.96x = 47,698,704.69
  5. Step 5: Solve for x
    x = 47,698,704.69/7,634.96
  6. Step 6: Final answer
    x = 6,247.41

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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.