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Finding the Fourth Proportional to 11,180.66, 16,771.50 and 7,908.36

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Solution

The fourth proportional to 11,180.66, 16,771.50 and 7,908.36 is: 11,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,180.66 : 16,771.50 = 7,908.36 : x
  2. Step 2: Convert to fraction form
    11,180.66/16,771.50 = 7,908.36/x
  3. Step 3: Cross multiply
    11,180.66x = 16,771.50 × 7,908.36
  4. Step 4: Simplify right side
    11,180.66x = 132,635,059.74
  5. Step 5: Solve for x
    x = 132,635,059.74/11,180.66
  6. Step 6: Final answer
    x = 11,862.90

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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.