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Finding the Fourth Proportional to 12,166.79, 18,257.34 and 5,146.34

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Solution

The fourth proportional to 12,166.79, 18,257.34 and 5,146.34 is: 7,722.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.79 : 18,257.34 = 5,146.34 : x
  2. Step 2: Convert to fraction form
    12,166.79/18,257.34 = 5,146.34/x
  3. Step 3: Cross multiply
    12,166.79x = 18,257.34 × 5,146.34
  4. Step 4: Simplify right side
    12,166.79x = 93,958,387.85
  5. Step 5: Solve for x
    x = 93,958,387.85/12,166.79
  6. Step 6: Final answer
    x = 7,722.53

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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.