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Finding the Fourth Proportional to 11,628.56, 16,047.39 and 6,323.42

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Solution

The fourth proportional to 11,628.56, 16,047.39 and 6,323.42 is: 8,726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.56 : 16,047.39 = 6,323.42 : x
  2. Step 2: Convert to fraction form
    11,628.56/16,047.39 = 6,323.42/x
  3. Step 3: Cross multiply
    11,628.56x = 16,047.39 × 6,323.42
  4. Step 4: Simplify right side
    11,628.56x = 101,474,386.87
  5. Step 5: Solve for x
    x = 101,474,386.87/11,628.56
  6. Step 6: Final answer
    x = 8,726.31

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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.