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Finding the Fourth Proportional to 8,272.98, 12,406.80 and 2,725.02

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Solution

The fourth proportional to 8,272.98, 12,406.80 and 2,725.02 is: 4,086.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.98 : 12,406.80 = 2,725.02 : x
  2. Step 2: Convert to fraction form
    8,272.98/12,406.80 = 2,725.02/x
  3. Step 3: Cross multiply
    8,272.98x = 12,406.80 × 2,725.02
  4. Step 4: Simplify right side
    8,272.98x = 33,808,778.14
  5. Step 5: Solve for x
    x = 33,808,778.14/8,272.98
  6. Step 6: Final answer
    x = 4,086.65

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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.