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Finding the Fourth Proportional to 10,774.77, 16,162.16 and 3,379.88

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Solution

The fourth proportional to 10,774.77, 16,162.16 and 3,379.88 is: 5,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.77 : 16,162.16 = 3,379.88 : x
  2. Step 2: Convert to fraction form
    10,774.77/16,162.16 = 3,379.88/x
  3. Step 3: Cross multiply
    10,774.77x = 16,162.16 × 3,379.88
  4. Step 4: Simplify right side
    10,774.77x = 54,626,161.34
  5. Step 5: Solve for x
    x = 54,626,161.34/10,774.77
  6. Step 6: Final answer
    x = 5,069.82

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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.