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Finding the Fourth Proportional to 8,271.72, 12,409.46 and 2,725.62

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Solution

The fourth proportional to 8,271.72, 12,409.46 and 2,725.62 is: 4,089.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.72 : 12,409.46 = 2,725.62 : x
  2. Step 2: Convert to fraction form
    8,271.72/12,409.46 = 2,725.62/x
  3. Step 3: Cross multiply
    8,271.72x = 12,409.46 × 2,725.62
  4. Step 4: Simplify right side
    8,271.72x = 33,823,458.74
  5. Step 5: Solve for x
    x = 33,823,458.74/8,271.72
  6. Step 6: Final answer
    x = 4,089.05

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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.