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Finding the Fourth Proportional to 10,690.83, 16,037.73 and 3,295.87

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Solution

The fourth proportional to 10,690.83, 16,037.73 and 3,295.87 is: 4,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.83 : 16,037.73 = 3,295.87 : x
  2. Step 2: Convert to fraction form
    10,690.83/16,037.73 = 3,295.87/x
  3. Step 3: Cross multiply
    10,690.83x = 16,037.73 × 3,295.87
  4. Step 4: Simplify right side
    10,690.83x = 52,858,233.08
  5. Step 5: Solve for x
    x = 52,858,233.08/10,690.83
  6. Step 6: Final answer
    x = 4,944.26

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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.