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Finding the Fourth Proportional to 7,231.34, 10,846.89 and 2,300.92

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Solution

The fourth proportional to 7,231.34, 10,846.89 and 2,300.92 is: 3,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.34 : 10,846.89 = 2,300.92 : x
  2. Step 2: Convert to fraction form
    7,231.34/10,846.89 = 2,300.92/x
  3. Step 3: Cross multiply
    7,231.34x = 10,846.89 × 2,300.92
  4. Step 4: Simplify right side
    7,231.34x = 24,957,826.14
  5. Step 5: Solve for x
    x = 24,957,826.14/7,231.34
  6. Step 6: Final answer
    x = 3,451.34

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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.