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Finding the Fourth Proportional to 7,160.54, 10,735.24 and 3,410.38

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Solution

The fourth proportional to 7,160.54, 10,735.24 and 3,410.38 is: 5,112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.54 : 10,735.24 = 3,410.38 : x
  2. Step 2: Convert to fraction form
    7,160.54/10,735.24 = 3,410.38/x
  3. Step 3: Cross multiply
    7,160.54x = 10,735.24 × 3,410.38
  4. Step 4: Simplify right side
    7,160.54x = 36,611,247.79
  5. Step 5: Solve for x
    x = 36,611,247.79/7,160.54
  6. Step 6: Final answer
    x = 5,112.92

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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.