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Finding the Fourth Proportional to 8,102.75, 12,153.09 and 3,175.85

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Solution

The fourth proportional to 8,102.75, 12,153.09 and 3,175.85 is: 4,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.75 : 12,153.09 = 3,175.85 : x
  2. Step 2: Convert to fraction form
    8,102.75/12,153.09 = 3,175.85/x
  3. Step 3: Cross multiply
    8,102.75x = 12,153.09 × 3,175.85
  4. Step 4: Simplify right side
    8,102.75x = 38,596,330.11
  5. Step 5: Solve for x
    x = 38,596,330.11/8,102.75
  6. Step 6: Final answer
    x = 4,763.36

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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.