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Finding the Fourth Proportional to 11,305.80, 16,956 and 3,406.68

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Solution

The fourth proportional to 11,305.80, 16,956 and 3,406.68 is: 5,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.80 : 16,956 = 3,406.68 : x
  2. Step 2: Convert to fraction form
    11,305.80/16,956 = 3,406.68/x
  3. Step 3: Cross multiply
    11,305.80x = 16,956 × 3,406.68
  4. Step 4: Simplify right side
    11,305.80x = 57,763,666.08
  5. Step 5: Solve for x
    x = 57,763,666.08/11,305.80
  6. Step 6: Final answer
    x = 5,109.21

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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.