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Finding the Fourth Proportional to 10,956.45, 16,418.27 and 6,569.09

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Solution

The fourth proportional to 10,956.45, 16,418.27 and 6,569.09 is: 9,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.45 : 16,418.27 = 6,569.09 : x
  2. Step 2: Convert to fraction form
    10,956.45/16,418.27 = 6,569.09/x
  3. Step 3: Cross multiply
    10,956.45x = 16,418.27 × 6,569.09
  4. Step 4: Simplify right side
    10,956.45x = 107,853,093.27
  5. Step 5: Solve for x
    x = 107,853,093.27/10,956.45
  6. Step 6: Final answer
    x = 9,843.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.