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Finding the Fourth Proportional to 11,629.14, 16,048.06 and 6,323.84

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Solution

The fourth proportional to 11,629.14, 16,048.06 and 6,323.84 is: 8,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,629.14 : 16,048.06 = 6,323.84 : x
  2. Step 2: Convert to fraction form
    11,629.14/16,048.06 = 6,323.84/x
  3. Step 3: Cross multiply
    11,629.14x = 16,048.06 × 6,323.84
  4. Step 4: Simplify right side
    11,629.14x = 101,485,327.88
  5. Step 5: Solve for x
    x = 101,485,327.88/11,629.14
  6. Step 6: Final answer
    x = 8,726.82

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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.