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Finding the Fourth Proportional to 11,850.89, 16,356.80 and 8,083.04

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Solution

The fourth proportional to 11,850.89, 16,356.80 and 8,083.04 is: 11,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.89 : 16,356.80 = 8,083.04 : x
  2. Step 2: Convert to fraction form
    11,850.89/16,356.80 = 8,083.04/x
  3. Step 3: Cross multiply
    11,850.89x = 16,356.80 × 8,083.04
  4. Step 4: Simplify right side
    11,850.89x = 132,212,668.67
  5. Step 5: Solve for x
    x = 132,212,668.67/11,850.89
  6. Step 6: Final answer
    x = 11,156.35

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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.