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Finding the Fourth Proportional to 11,596.97, 16,003.91 and 6,291.81

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Solution

The fourth proportional to 11,596.97, 16,003.91 and 6,291.81 is: 8,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.97 : 16,003.91 = 6,291.81 : x
  2. Step 2: Convert to fraction form
    11,596.97/16,003.91 = 6,291.81/x
  3. Step 3: Cross multiply
    11,596.97x = 16,003.91 × 6,291.81
  4. Step 4: Simplify right side
    11,596.97x = 100,693,576.71
  5. Step 5: Solve for x
    x = 100,693,576.71/11,596.97
  6. Step 6: Final answer
    x = 8,682.75

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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.