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Finding the Fourth Proportional to 11,628.57, 16,047.39 and 6,323.40

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Solution

The fourth proportional to 11,628.57, 16,047.39 and 6,323.40 is: 8,726.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.57 : 16,047.39 = 6,323.40 : x
  2. Step 2: Convert to fraction form
    11,628.57/16,047.39 = 6,323.40/x
  3. Step 3: Cross multiply
    11,628.57x = 16,047.39 × 6,323.40
  4. Step 4: Simplify right side
    11,628.57x = 101,474,065.93
  5. Step 5: Solve for x
    x = 101,474,065.93/11,628.57
  6. Step 6: Final answer
    x = 8,726.27

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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.