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Finding the Fourth Proportional to 7,231.58, 10,847.38 and 2,301.24

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Solution

The fourth proportional to 7,231.58, 10,847.38 and 2,301.24 is: 3,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.58 : 10,847.38 = 2,301.24 : x
  2. Step 2: Convert to fraction form
    7,231.58/10,847.38 = 2,301.24/x
  3. Step 3: Cross multiply
    7,231.58x = 10,847.38 × 2,301.24
  4. Step 4: Simplify right side
    7,231.58x = 24,962,424.75
  5. Step 5: Solve for x
    x = 24,962,424.75/7,231.58
  6. Step 6: Final answer
    x = 3,451.86

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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.