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Finding the Fourth Proportional to 11,805.72, 17,671.14 and 6,595.80

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Solution

The fourth proportional to 11,805.72, 17,671.14 and 6,595.80 is: 9,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.72 : 17,671.14 = 6,595.80 : x
  2. Step 2: Convert to fraction form
    11,805.72/17,671.14 = 6,595.80/x
  3. Step 3: Cross multiply
    11,805.72x = 17,671.14 × 6,595.80
  4. Step 4: Simplify right side
    11,805.72x = 116,555,305.21
  5. Step 5: Solve for x
    x = 116,555,305.21/11,805.72
  6. Step 6: Final answer
    x = 9,872.78

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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.