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Finding the Fourth Proportional to 8,537.38, 12,797.25 and 3,271.16

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Solution

The fourth proportional to 8,537.38, 12,797.25 and 3,271.16 is: 4,903.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.38 : 12,797.25 = 3,271.16 : x
  2. Step 2: Convert to fraction form
    8,537.38/12,797.25 = 3,271.16/x
  3. Step 3: Cross multiply
    8,537.38x = 12,797.25 × 3,271.16
  4. Step 4: Simplify right side
    8,537.38x = 41,861,852.31
  5. Step 5: Solve for x
    x = 41,861,852.31/8,537.38
  6. Step 6: Final answer
    x = 4,903.36

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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.