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Finding the Fourth Proportional to 11,596.26, 16,002.86 and 6,291.09

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Solution

The fourth proportional to 11,596.26, 16,002.86 and 6,291.09 is: 8,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.26 : 16,002.86 = 6,291.09 : x
  2. Step 2: Convert to fraction form
    11,596.26/16,002.86 = 6,291.09/x
  3. Step 3: Cross multiply
    11,596.26x = 16,002.86 × 6,291.09
  4. Step 4: Simplify right side
    11,596.26x = 100,675,401.06
  5. Step 5: Solve for x
    x = 100,675,401.06/11,596.26
  6. Step 6: Final answer
    x = 8,681.71

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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.