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Finding the Fourth Proportional to 8,202.12, 12,302.74 and 2,655.32

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Solution

The fourth proportional to 8,202.12, 12,302.74 and 2,655.32 is: 3,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.12 : 12,302.74 = 2,655.32 : x
  2. Step 2: Convert to fraction form
    8,202.12/12,302.74 = 2,655.32/x
  3. Step 3: Cross multiply
    8,202.12x = 12,302.74 × 2,655.32
  4. Step 4: Simplify right side
    8,202.12x = 32,667,711.58
  5. Step 5: Solve for x
    x = 32,667,711.58/8,202.12
  6. Step 6: Final answer
    x = 3,982.84

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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.