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Finding the Fourth Proportional to 8,103.76, 12,147.44 and 3,170.32

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Solution

The fourth proportional to 8,103.76, 12,147.44 and 3,170.32 is: 4,752.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.76 : 12,147.44 = 3,170.32 : x
  2. Step 2: Convert to fraction form
    8,103.76/12,147.44 = 3,170.32/x
  3. Step 3: Cross multiply
    8,103.76x = 12,147.44 × 3,170.32
  4. Step 4: Simplify right side
    8,103.76x = 38,511,271.98
  5. Step 5: Solve for x
    x = 38,511,271.98/8,103.76
  6. Step 6: Final answer
    x = 4,752.27

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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.