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Finding the Fourth Proportional to 12,103.10, 16,709.55 and 7,855.82

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Solution

The fourth proportional to 12,103.10, 16,709.55 and 7,855.82 is: 10,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.10 : 16,709.55 = 7,855.82 : x
  2. Step 2: Convert to fraction form
    12,103.10/16,709.55 = 7,855.82/x
  3. Step 3: Cross multiply
    12,103.10x = 16,709.55 × 7,855.82
  4. Step 4: Simplify right side
    12,103.10x = 131,267,217.08
  5. Step 5: Solve for x
    x = 131,267,217.08/12,103.10
  6. Step 6: Final answer
    x = 10,845.75

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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.