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Finding the Fourth Proportional to 8,323.38, 12,461.94 and 5,392.80

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Solution

The fourth proportional to 8,323.38, 12,461.94 and 5,392.80 is: 8,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.38 : 12,461.94 = 5,392.80 : x
  2. Step 2: Convert to fraction form
    8,323.38/12,461.94 = 5,392.80/x
  3. Step 3: Cross multiply
    8,323.38x = 12,461.94 × 5,392.80
  4. Step 4: Simplify right side
    8,323.38x = 67,204,750.03
  5. Step 5: Solve for x
    x = 67,204,750.03/8,323.38
  6. Step 6: Final answer
    x = 8,074.21

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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.