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Finding the Fourth Proportional to 11,760.66, 16,265.75 and 11,563.83

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Solution

The fourth proportional to 11,760.66, 16,265.75 and 11,563.83 is: 15,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.66 : 16,265.75 = 11,563.83 : x
  2. Step 2: Convert to fraction form
    11,760.66/16,265.75 = 11,563.83/x
  3. Step 3: Cross multiply
    11,760.66x = 16,265.75 × 11,563.83
  4. Step 4: Simplify right side
    11,760.66x = 188,094,310.00
  5. Step 5: Solve for x
    x = 188,094,310.00/11,760.66
  6. Step 6: Final answer
    x = 15,993.52

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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.