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Finding the Fourth Proportional to 8,422.46, 12,633.72 and 8,219.48

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Solution

The fourth proportional to 8,422.46, 12,633.72 and 8,219.48 is: 12,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.46 : 12,633.72 = 8,219.48 : x
  2. Step 2: Convert to fraction form
    8,422.46/12,633.72 = 8,219.48/x
  3. Step 3: Cross multiply
    8,422.46x = 12,633.72 × 8,219.48
  4. Step 4: Simplify right side
    8,422.46x = 103,842,608.87
  5. Step 5: Solve for x
    x = 103,842,608.87/8,422.46
  6. Step 6: Final answer
    x = 12,329.25

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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.