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Finding the Fourth Proportional to 8,286.56, 12,430.45 and 3,092.44

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Solution

The fourth proportional to 8,286.56, 12,430.45 and 3,092.44 is: 4,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.56 : 12,430.45 = 3,092.44 : x
  2. Step 2: Convert to fraction form
    8,286.56/12,430.45 = 3,092.44/x
  3. Step 3: Cross multiply
    8,286.56x = 12,430.45 × 3,092.44
  4. Step 4: Simplify right side
    8,286.56x = 38,440,393.59
  5. Step 5: Solve for x
    x = 38,440,393.59/8,286.56
  6. Step 6: Final answer
    x = 4,638.88

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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.