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Finding the Fourth Proportional to 8,196.82, 12,302.57 and 4,250.90

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Solution

The fourth proportional to 8,196.82, 12,302.57 and 4,250.90 is: 6,380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.82 : 12,302.57 = 4,250.90 : x
  2. Step 2: Convert to fraction form
    8,196.82/12,302.57 = 4,250.90/x
  3. Step 3: Cross multiply
    8,196.82x = 12,302.57 × 4,250.90
  4. Step 4: Simplify right side
    8,196.82x = 52,296,994.81
  5. Step 5: Solve for x
    x = 52,296,994.81/8,196.82
  6. Step 6: Final answer
    x = 6,380.16

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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.