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Finding the Fourth Proportional to 11,961.72, 16,508.07 and 6,927.30

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Solution

The fourth proportional to 11,961.72, 16,508.07 and 6,927.30 is: 9,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.72 : 16,508.07 = 6,927.30 : x
  2. Step 2: Convert to fraction form
    11,961.72/16,508.07 = 6,927.30/x
  3. Step 3: Cross multiply
    11,961.72x = 16,508.07 × 6,927.30
  4. Step 4: Simplify right side
    11,961.72x = 114,356,353.31
  5. Step 5: Solve for x
    x = 114,356,353.31/11,961.72
  6. Step 6: Final answer
    x = 9,560.19

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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.