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Finding the Fourth Proportional to 8,096.34, 12,135.60 and 3,165.06

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Solution

The fourth proportional to 8,096.34, 12,135.60 and 3,165.06 is: 4,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.34 : 12,135.60 = 3,165.06 : x
  2. Step 2: Convert to fraction form
    8,096.34/12,135.60 = 3,165.06/x
  3. Step 3: Cross multiply
    8,096.34x = 12,135.60 × 3,165.06
  4. Step 4: Simplify right side
    8,096.34x = 38,409,902.14
  5. Step 5: Solve for x
    x = 38,409,902.14/8,096.34
  6. Step 6: Final answer
    x = 4,744.11

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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.