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Finding the Fourth Proportional to 7,174.08, 10,762.56 and 2,557.44

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Solution

The fourth proportional to 7,174.08, 10,762.56 and 2,557.44 is: 3,836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.08 : 10,762.56 = 2,557.44 : x
  2. Step 2: Convert to fraction form
    7,174.08/10,762.56 = 2,557.44/x
  3. Step 3: Cross multiply
    7,174.08x = 10,762.56 × 2,557.44
  4. Step 4: Simplify right side
    7,174.08x = 27,524,601.45
  5. Step 5: Solve for x
    x = 27,524,601.45/7,174.08
  6. Step 6: Final answer
    x = 3,836.67

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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.