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Finding the Fourth Proportional to 11,175.89, 16,765.65 and 3,780.80

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Solution

The fourth proportional to 11,175.89, 16,765.65 and 3,780.80 is: 5,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.89 : 16,765.65 = 3,780.80 : x
  2. Step 2: Convert to fraction form
    11,175.89/16,765.65 = 3,780.80/x
  3. Step 3: Cross multiply
    11,175.89x = 16,765.65 × 3,780.80
  4. Step 4: Simplify right side
    11,175.89x = 63,387,569.52
  5. Step 5: Solve for x
    x = 63,387,569.52/11,175.89
  6. Step 6: Final answer
    x = 5,671.81

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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.