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Finding the Fourth Proportional to 8,214.56, 12,323.52 and 3,020.48

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Solution

The fourth proportional to 8,214.56, 12,323.52 and 3,020.48 is: 4,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.56 : 12,323.52 = 3,020.48 : x
  2. Step 2: Convert to fraction form
    8,214.56/12,323.52 = 3,020.48/x
  3. Step 3: Cross multiply
    8,214.56x = 12,323.52 × 3,020.48
  4. Step 4: Simplify right side
    8,214.56x = 37,222,945.69
  5. Step 5: Solve for x
    x = 37,222,945.69/8,214.56
  6. Step 6: Final answer
    x = 4,531.34

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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.