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Finding the Fourth Proportional to 8,096.40, 11,173.05 and 4,694.09

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Solution

The fourth proportional to 8,096.40, 11,173.05 and 4,694.09 is: 6,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.40 : 11,173.05 = 4,694.09 : x
  2. Step 2: Convert to fraction form
    8,096.40/11,173.05 = 4,694.09/x
  3. Step 3: Cross multiply
    8,096.40x = 11,173.05 × 4,694.09
  4. Step 4: Simplify right side
    8,096.40x = 52,447,246.41
  5. Step 5: Solve for x
    x = 52,447,246.41/8,096.40
  6. Step 6: Final answer
    x = 6,477.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.