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Finding the Fourth Proportional to 10,896.86, 16,345.50 and 3,105.92

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Solution

The fourth proportional to 10,896.86, 16,345.50 and 3,105.92 is: 4,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.86 : 16,345.50 = 3,105.92 : x
  2. Step 2: Convert to fraction form
    10,896.86/16,345.50 = 3,105.92/x
  3. Step 3: Cross multiply
    10,896.86x = 16,345.50 × 3,105.92
  4. Step 4: Simplify right side
    10,896.86x = 50,767,815.36
  5. Step 5: Solve for x
    x = 50,767,815.36/10,896.86
  6. Step 6: Final answer
    x = 4,658.94

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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.