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Finding the Fourth Proportional to 11,628.64, 16,047.41 and 6,323.50

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Solution

The fourth proportional to 11,628.64, 16,047.41 and 6,323.50 is: 8,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.64 : 16,047.41 = 6,323.50 : x
  2. Step 2: Convert to fraction form
    11,628.64/16,047.41 = 6,323.50/x
  3. Step 3: Cross multiply
    11,628.64x = 16,047.41 × 6,323.50
  4. Step 4: Simplify right side
    11,628.64x = 101,475,797.14
  5. Step 5: Solve for x
    x = 101,475,797.14/11,628.64
  6. Step 6: Final answer
    x = 8,726.37

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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.