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Finding the Fourth Proportional to 11,876.34, 16,389.24 and 6,571.05

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Solution

The fourth proportional to 11,876.34, 16,389.24 and 6,571.05 is: 9,067.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.34 : 16,389.24 = 6,571.05 : x
  2. Step 2: Convert to fraction form
    11,876.34/16,389.24 = 6,571.05/x
  3. Step 3: Cross multiply
    11,876.34x = 16,389.24 × 6,571.05
  4. Step 4: Simplify right side
    11,876.34x = 107,694,515.50
  5. Step 5: Solve for x
    x = 107,694,515.50/11,876.34
  6. Step 6: Final answer
    x = 9,067.99

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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.