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Finding the Fourth Proportional to 8,414.88, 11,610.72 and 5,628.48

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Solution

The fourth proportional to 8,414.88, 11,610.72 and 5,628.48 is: 7,766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.88 : 11,610.72 = 5,628.48 : x
  2. Step 2: Convert to fraction form
    8,414.88/11,610.72 = 5,628.48/x
  3. Step 3: Cross multiply
    8,414.88x = 11,610.72 × 5,628.48
  4. Step 4: Simplify right side
    8,414.88x = 65,350,705.31
  5. Step 5: Solve for x
    x = 65,350,705.31/8,414.88
  6. Step 6: Final answer
    x = 7,766.09

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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.