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Finding the Fourth Proportional to 8,103.44, 12,152.64 and 3,171.72

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Solution

The fourth proportional to 8,103.44, 12,152.64 and 3,171.72 is: 4,756.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.44 : 12,152.64 = 3,171.72 : x
  2. Step 2: Convert to fraction form
    8,103.44/12,152.64 = 3,171.72/x
  3. Step 3: Cross multiply
    8,103.44x = 12,152.64 × 3,171.72
  4. Step 4: Simplify right side
    8,103.44x = 38,544,771.34
  5. Step 5: Solve for x
    x = 38,544,771.34/8,103.44
  6. Step 6: Final answer
    x = 4,756.59

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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.