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Finding the Fourth Proportional to 8,123.82, 12,166.25 and 4,416.85

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Solution

The fourth proportional to 8,123.82, 12,166.25 and 4,416.85 is: 6,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.82 : 12,166.25 = 4,416.85 : x
  2. Step 2: Convert to fraction form
    8,123.82/12,166.25 = 4,416.85/x
  3. Step 3: Cross multiply
    8,123.82x = 12,166.25 × 4,416.85
  4. Step 4: Simplify right side
    8,123.82x = 53,736,553.50
  5. Step 5: Solve for x
    x = 53,736,553.50/8,123.82
  6. Step 6: Final answer
    x = 6,614.69

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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.