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Finding the Fourth Proportional to 11,869.75, 16,379.01 and 6,563.83

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Solution

The fourth proportional to 11,869.75, 16,379.01 and 6,563.83 is: 9,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.75 : 16,379.01 = 6,563.83 : x
  2. Step 2: Convert to fraction form
    11,869.75/16,379.01 = 6,563.83/x
  3. Step 3: Cross multiply
    11,869.75x = 16,379.01 × 6,563.83
  4. Step 4: Simplify right side
    11,869.75x = 107,509,037.21
  5. Step 5: Solve for x
    x = 107,509,037.21/11,869.75
  6. Step 6: Final answer
    x = 9,057.40

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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.