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Finding the Fourth Proportional to 11,850.75, 16,354.26 and 7,666.29

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Solution

The fourth proportional to 11,850.75, 16,354.26 and 7,666.29 is: 10,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.75 : 16,354.26 = 7,666.29 : x
  2. Step 2: Convert to fraction form
    11,850.75/16,354.26 = 7,666.29/x
  3. Step 3: Cross multiply
    11,850.75x = 16,354.26 × 7,666.29
  4. Step 4: Simplify right side
    11,850.75x = 125,376,499.90
  5. Step 5: Solve for x
    x = 125,376,499.90/11,850.75
  6. Step 6: Final answer
    x = 10,579.63

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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.