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Finding the Fourth Proportional to 11,632.98, 16,052.85 and 6,327.48

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Solution

The fourth proportional to 11,632.98, 16,052.85 and 6,327.48 is: 8,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.98 : 16,052.85 = 6,327.48 : x
  2. Step 2: Convert to fraction form
    11,632.98/16,052.85 = 6,327.48/x
  3. Step 3: Cross multiply
    11,632.98x = 16,052.85 × 6,327.48
  4. Step 4: Simplify right side
    11,632.98x = 101,574,087.32
  5. Step 5: Solve for x
    x = 101,574,087.32/11,632.98
  6. Step 6: Final answer
    x = 8,731.56

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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.