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Finding the Fourth Proportional to 10,770.05, 16,155 and 2,764.79

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Solution

The fourth proportional to 10,770.05, 16,155 and 2,764.79 is: 4,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.05 : 16,155 = 2,764.79 : x
  2. Step 2: Convert to fraction form
    10,770.05/16,155 = 2,764.79/x
  3. Step 3: Cross multiply
    10,770.05x = 16,155 × 2,764.79
  4. Step 4: Simplify right side
    10,770.05x = 44,665,101.68
  5. Step 5: Solve for x
    x = 44,665,101.68/10,770.05
  6. Step 6: Final answer
    x = 4,147.16

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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.