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Finding the Fourth Proportional to 7,715.42, 11,573.13 and 2,168.54

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Solution

The fourth proportional to 7,715.42, 11,573.13 and 2,168.54 is: 3,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.42 : 11,573.13 = 2,168.54 : x
  2. Step 2: Convert to fraction form
    7,715.42/11,573.13 = 2,168.54/x
  3. Step 3: Cross multiply
    7,715.42x = 11,573.13 × 2,168.54
  4. Step 4: Simplify right side
    7,715.42x = 25,096,795.33
  5. Step 5: Solve for x
    x = 25,096,795.33/7,715.42
  6. Step 6: Final answer
    x = 3,252.81

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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.