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Finding the Fourth Proportional to 7,449.77, 11,179.82 and 2,774.05

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Solution

The fourth proportional to 7,449.77, 11,179.82 and 2,774.05 is: 4,162.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.77 : 11,179.82 = 2,774.05 : x
  2. Step 2: Convert to fraction form
    7,449.77/11,179.82 = 2,774.05/x
  3. Step 3: Cross multiply
    7,449.77x = 11,179.82 × 2,774.05
  4. Step 4: Simplify right side
    7,449.77x = 31,013,358.66
  5. Step 5: Solve for x
    x = 31,013,358.66/7,449.77
  6. Step 6: Final answer
    x = 4,162.99

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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.