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Finding the Fourth Proportional to 8,500.82, 11,731.05 and 4,672.46

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Solution

The fourth proportional to 8,500.82, 11,731.05 and 4,672.46 is: 6,447.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.82 : 11,731.05 = 4,672.46 : x
  2. Step 2: Convert to fraction form
    8,500.82/11,731.05 = 4,672.46/x
  3. Step 3: Cross multiply
    8,500.82x = 11,731.05 × 4,672.46
  4. Step 4: Simplify right side
    8,500.82x = 54,812,861.88
  5. Step 5: Solve for x
    x = 54,812,861.88/8,500.82
  6. Step 6: Final answer
    x = 6,447.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.