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Finding the Fourth Proportional to 11,829.62, 16,323.27 and 6,524.66

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Solution

The fourth proportional to 11,829.62, 16,323.27 and 6,524.66 is: 9,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.62 : 16,323.27 = 6,524.66 : x
  2. Step 2: Convert to fraction form
    11,829.62/16,323.27 = 6,524.66/x
  3. Step 3: Cross multiply
    11,829.62x = 16,323.27 × 6,524.66
  4. Step 4: Simplify right side
    11,829.62x = 106,503,786.84
  5. Step 5: Solve for x
    x = 106,503,786.84/11,829.62
  6. Step 6: Final answer
    x = 9,003.15

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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.