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Finding the Fourth Proportional to 8,282.92, 11,429.22 and 4,745.56

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Solution

The fourth proportional to 8,282.92, 11,429.22 and 4,745.56 is: 6,548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.92 : 11,429.22 = 4,745.56 : x
  2. Step 2: Convert to fraction form
    8,282.92/11,429.22 = 4,745.56/x
  3. Step 3: Cross multiply
    8,282.92x = 11,429.22 × 4,745.56
  4. Step 4: Simplify right side
    8,282.92x = 54,238,049.26
  5. Step 5: Solve for x
    x = 54,238,049.26/8,282.92
  6. Step 6: Final answer
    x = 6,548.18

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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.