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Finding the Fourth Proportional to 7,441.74, 11,162.88 and 2,511

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Solution

The fourth proportional to 7,441.74, 11,162.88 and 2,511 is: 3,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.74 : 11,162.88 = 2,511 : x
  2. Step 2: Convert to fraction form
    7,441.74/11,162.88 = 2,511/x
  3. Step 3: Cross multiply
    7,441.74x = 11,162.88 × 2,511
  4. Step 4: Simplify right side
    7,441.74x = 28,029,991.68
  5. Step 5: Solve for x
    x = 28,029,991.68/7,441.74
  6. Step 6: Final answer
    x = 3,766.59

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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.