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Finding the Fourth Proportional to 8,235.38, 12,344.22 and 3,557.60

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Solution

The fourth proportional to 8,235.38, 12,344.22 and 3,557.60 is: 5,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.38 : 12,344.22 = 3,557.60 : x
  2. Step 2: Convert to fraction form
    8,235.38/12,344.22 = 3,557.60/x
  3. Step 3: Cross multiply
    8,235.38x = 12,344.22 × 3,557.60
  4. Step 4: Simplify right side
    8,235.38x = 43,915,797.07
  5. Step 5: Solve for x
    x = 43,915,797.07/8,235.38
  6. Step 6: Final answer
    x = 5,332.58

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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.