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Finding the Fourth Proportional to 11,632.97, 16,053.66 and 6,327.87

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Solution

The fourth proportional to 11,632.97, 16,053.66 and 6,327.87 is: 8,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.97 : 16,053.66 = 6,327.87 : x
  2. Step 2: Convert to fraction form
    11,632.97/16,053.66 = 6,327.87/x
  3. Step 3: Cross multiply
    11,632.97x = 16,053.66 × 6,327.87
  4. Step 4: Simplify right side
    11,632.97x = 101,585,473.50
  5. Step 5: Solve for x
    x = 101,585,473.50/11,632.97
  6. Step 6: Final answer
    x = 8,732.55

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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.