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Finding the Fourth Proportional to 11,186.56, 16,785.30 and 7,920.64

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Solution

The fourth proportional to 11,186.56, 16,785.30 and 7,920.64 is: 11,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.56 : 16,785.30 = 7,920.64 : x
  2. Step 2: Convert to fraction form
    11,186.56/16,785.30 = 7,920.64/x
  3. Step 3: Cross multiply
    11,186.56x = 16,785.30 × 7,920.64
  4. Step 4: Simplify right side
    11,186.56x = 132,950,318.59
  5. Step 5: Solve for x
    x = 132,950,318.59/11,186.56
  6. Step 6: Final answer
    x = 11,884.83

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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.