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Finding the Fourth Proportional to 11,632.77, 16,053.51 and 6,327.60

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Solution

The fourth proportional to 11,632.77, 16,053.51 and 6,327.60 is: 8,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.77 : 16,053.51 = 6,327.60 : x
  2. Step 2: Convert to fraction form
    11,632.77/16,053.51 = 6,327.60/x
  3. Step 3: Cross multiply
    11,632.77x = 16,053.51 × 6,327.60
  4. Step 4: Simplify right side
    11,632.77x = 101,580,189.88
  5. Step 5: Solve for x
    x = 101,580,189.88/11,632.77
  6. Step 6: Final answer
    x = 8,732.24

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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.