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Finding the Fourth Proportional to 8,536.30, 12,804.46 and 4,149.99

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Solution

The fourth proportional to 8,536.30, 12,804.46 and 4,149.99 is: 6,224.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.30 : 12,804.46 = 4,149.99 : x
  2. Step 2: Convert to fraction form
    8,536.30/12,804.46 = 4,149.99/x
  3. Step 3: Cross multiply
    8,536.30x = 12,804.46 × 4,149.99
  4. Step 4: Simplify right side
    8,536.30x = 53,138,380.96
  5. Step 5: Solve for x
    x = 53,138,380.96/8,536.30
  6. Step 6: Final answer
    x = 6,224.99

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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.