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Finding the Fourth Proportional to 8,235.93, 12,338.42 and 4,071.09

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Solution

The fourth proportional to 8,235.93, 12,338.42 and 4,071.09 is: 6,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.93 : 12,338.42 = 4,071.09 : x
  2. Step 2: Convert to fraction form
    8,235.93/12,338.42 = 4,071.09/x
  3. Step 3: Cross multiply
    8,235.93x = 12,338.42 × 4,071.09
  4. Step 4: Simplify right side
    8,235.93x = 50,230,797.92
  5. Step 5: Solve for x
    x = 50,230,797.92/8,235.93
  6. Step 6: Final answer
    x = 6,098.98

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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.