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Finding the Fourth Proportional to 7,162.41, 10,744.91 and 2,230.89

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Solution

The fourth proportional to 7,162.41, 10,744.91 and 2,230.89 is: 3,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.41 : 10,744.91 = 2,230.89 : x
  2. Step 2: Convert to fraction form
    7,162.41/10,744.91 = 2,230.89/x
  3. Step 3: Cross multiply
    7,162.41x = 10,744.91 × 2,230.89
  4. Step 4: Simplify right side
    7,162.41x = 23,970,701.12
  5. Step 5: Solve for x
    x = 23,970,701.12/7,162.41
  6. Step 6: Final answer
    x = 3,346.74

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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.