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Finding the Fourth Proportional to 8,231.62, 12,341.94 and 4,535.60

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Solution

The fourth proportional to 8,231.62, 12,341.94 and 4,535.60 is: 6,800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.62 : 12,341.94 = 4,535.60 : x
  2. Step 2: Convert to fraction form
    8,231.62/12,341.94 = 4,535.60/x
  3. Step 3: Cross multiply
    8,231.62x = 12,341.94 × 4,535.60
  4. Step 4: Simplify right side
    8,231.62x = 55,978,103.06
  5. Step 5: Solve for x
    x = 55,978,103.06/8,231.62
  6. Step 6: Final answer
    x = 6,800.38

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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.