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Finding the Fourth Proportional to 11,884.46, 17,806.53 and 7,257.74

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Solution

The fourth proportional to 11,884.46, 17,806.53 and 7,257.74 is: 10,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.46 : 17,806.53 = 7,257.74 : x
  2. Step 2: Convert to fraction form
    11,884.46/17,806.53 = 7,257.74/x
  3. Step 3: Cross multiply
    11,884.46x = 17,806.53 × 7,257.74
  4. Step 4: Simplify right side
    11,884.46x = 129,235,165.04
  5. Step 5: Solve for x
    x = 129,235,165.04/11,884.46
  6. Step 6: Final answer
    x = 10,874.30

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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.