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Finding the Fourth Proportional to 11,963.96, 16,509.56 and 6,927.81

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Solution

The fourth proportional to 11,963.96, 16,509.56 and 6,927.81 is: 9,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.96 : 16,509.56 = 6,927.81 : x
  2. Step 2: Convert to fraction form
    11,963.96/16,509.56 = 6,927.81/x
  3. Step 3: Cross multiply
    11,963.96x = 16,509.56 × 6,927.81
  4. Step 4: Simplify right side
    11,963.96x = 114,375,060.22
  5. Step 5: Solve for x
    x = 114,375,060.22/11,963.96
  6. Step 6: Final answer
    x = 9,559.97

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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.