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Finding the Fourth Proportional to 11,730.78, 16,188.39 and 6,353.09

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Solution

The fourth proportional to 11,730.78, 16,188.39 and 6,353.09 is: 8,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.78 : 16,188.39 = 6,353.09 : x
  2. Step 2: Convert to fraction form
    11,730.78/16,188.39 = 6,353.09/x
  3. Step 3: Cross multiply
    11,730.78x = 16,188.39 × 6,353.09
  4. Step 4: Simplify right side
    11,730.78x = 102,846,278.39
  5. Step 5: Solve for x
    x = 102,846,278.39/11,730.78
  6. Step 6: Final answer
    x = 8,767.22

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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.