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Finding the Fourth Proportional to 8,493.72, 12,733.94 and 4,049.06

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Solution

The fourth proportional to 8,493.72, 12,733.94 and 4,049.06 is: 6,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.72 : 12,733.94 = 4,049.06 : x
  2. Step 2: Convert to fraction form
    8,493.72/12,733.94 = 4,049.06/x
  3. Step 3: Cross multiply
    8,493.72x = 12,733.94 × 4,049.06
  4. Step 4: Simplify right side
    8,493.72x = 51,560,487.10
  5. Step 5: Solve for x
    x = 51,560,487.10/8,493.72
  6. Step 6: Final answer
    x = 6,070.42

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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.