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Finding the Fourth Proportional to 8,199.42, 12,290.82 and 3,522.48

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Solution

The fourth proportional to 8,199.42, 12,290.82 and 3,522.48 is: 5,280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.42 : 12,290.82 = 3,522.48 : x
  2. Step 2: Convert to fraction form
    8,199.42/12,290.82 = 3,522.48/x
  3. Step 3: Cross multiply
    8,199.42x = 12,290.82 × 3,522.48
  4. Step 4: Simplify right side
    8,199.42x = 43,294,167.63
  5. Step 5: Solve for x
    x = 43,294,167.63/8,199.42
  6. Step 6: Final answer
    x = 5,280.15

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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.