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Finding the Fourth Proportional to 8,271.25, 12,406.85 and 3,340.83

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Solution

The fourth proportional to 8,271.25, 12,406.85 and 3,340.83 is: 5,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.25 : 12,406.85 = 3,340.83 : x
  2. Step 2: Convert to fraction form
    8,271.25/12,406.85 = 3,340.83/x
  3. Step 3: Cross multiply
    8,271.25x = 12,406.85 × 3,340.83
  4. Step 4: Simplify right side
    8,271.25x = 41,449,176.69
  5. Step 5: Solve for x
    x = 41,449,176.69/8,271.25
  6. Step 6: Final answer
    x = 5,011.23

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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.