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Finding the Fourth Proportional to 8,102.93, 11,185.78 and 4,745.28

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Solution

The fourth proportional to 8,102.93, 11,185.78 and 4,745.28 is: 6,550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.93 : 11,185.78 = 4,745.28 : x
  2. Step 2: Convert to fraction form
    8,102.93/11,185.78 = 4,745.28/x
  3. Step 3: Cross multiply
    8,102.93x = 11,185.78 × 4,745.28
  4. Step 4: Simplify right side
    8,102.93x = 53,079,658.12
  5. Step 5: Solve for x
    x = 53,079,658.12/8,102.93
  6. Step 6: Final answer
    x = 6,550.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.