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Finding the Fourth Proportional to 12,586.73, 17,369.25 and 8,110.67

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Solution

The fourth proportional to 12,586.73, 17,369.25 and 8,110.67 is: 11,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.73 : 17,369.25 = 8,110.67 : x
  2. Step 2: Convert to fraction form
    12,586.73/17,369.25 = 8,110.67/x
  3. Step 3: Cross multiply
    12,586.73x = 17,369.25 × 8,110.67
  4. Step 4: Simplify right side
    12,586.73x = 140,876,254.90
  5. Step 5: Solve for x
    x = 140,876,254.90/12,586.73
  6. Step 6: Final answer
    x = 11,192.44

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