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Finding the Fourth Proportional to 7,711.11, 11,568.41 and 2,446.44

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Solution

The fourth proportional to 7,711.11, 11,568.41 and 2,446.44 is: 3,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.11 : 11,568.41 = 2,446.44 : x
  2. Step 2: Convert to fraction form
    7,711.11/11,568.41 = 2,446.44/x
  3. Step 3: Cross multiply
    7,711.11x = 11,568.41 × 2,446.44
  4. Step 4: Simplify right side
    7,711.11x = 28,301,475.05
  5. Step 5: Solve for x
    x = 28,301,475.05/7,711.11
  6. Step 6: Final answer
    x = 3,670.22

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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.