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Finding the Fourth Proportional to 11,326.37, 16,976.73 and 5,767.98

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Solution

The fourth proportional to 11,326.37, 16,976.73 and 5,767.98 is: 8,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,326.37 : 16,976.73 = 5,767.98 : x
  2. Step 2: Convert to fraction form
    11,326.37/16,976.73 = 5,767.98/x
  3. Step 3: Cross multiply
    11,326.37x = 16,976.73 × 5,767.98
  4. Step 4: Simplify right side
    11,326.37x = 97,921,439.11
  5. Step 5: Solve for x
    x = 97,921,439.11/11,326.37
  6. Step 6: Final answer
    x = 8,645.44

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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.