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Finding the Fourth Proportional to 8,096.67, 12,141.53 and 2,830.10

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Solution

The fourth proportional to 8,096.67, 12,141.53 and 2,830.10 is: 4,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.67 : 12,141.53 = 2,830.10 : x
  2. Step 2: Convert to fraction form
    8,096.67/12,141.53 = 2,830.10/x
  3. Step 3: Cross multiply
    8,096.67x = 12,141.53 × 2,830.10
  4. Step 4: Simplify right side
    8,096.67x = 34,361,744.05
  5. Step 5: Solve for x
    x = 34,361,744.05/8,096.67
  6. Step 6: Final answer
    x = 4,243.94

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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.