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Finding the Fourth Proportional to 10,780.67, 16,166.97 and 3,758.88

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Solution

The fourth proportional to 10,780.67, 16,166.97 and 3,758.88 is: 5,636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.67 : 16,166.97 = 3,758.88 : x
  2. Step 2: Convert to fraction form
    10,780.67/16,166.97 = 3,758.88/x
  3. Step 3: Cross multiply
    10,780.67x = 16,166.97 × 3,758.88
  4. Step 4: Simplify right side
    10,780.67x = 60,769,700.19
  5. Step 5: Solve for x
    x = 60,769,700.19/10,780.67
  6. Step 6: Final answer
    x = 5,636.91

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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.