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Finding the Fourth Proportional to 11,610.93, 16,022.67 and 6,305.64

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Solution

The fourth proportional to 11,610.93, 16,022.67 and 6,305.64 is: 8,701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.93 : 16,022.67 = 6,305.64 : x
  2. Step 2: Convert to fraction form
    11,610.93/16,022.67 = 6,305.64/x
  3. Step 3: Cross multiply
    11,610.93x = 16,022.67 × 6,305.64
  4. Step 4: Simplify right side
    11,610.93x = 101,033,188.86
  5. Step 5: Solve for x
    x = 101,033,188.86/11,610.93
  6. Step 6: Final answer
    x = 8,701.56

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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.