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Finding the Fourth Proportional to 7,231.88, 10,846.19 and 3,532.34

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Solution

The fourth proportional to 7,231.88, 10,846.19 and 3,532.34 is: 5,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.88 : 10,846.19 = 3,532.34 : x
  2. Step 2: Convert to fraction form
    7,231.88/10,846.19 = 3,532.34/x
  3. Step 3: Cross multiply
    7,231.88x = 10,846.19 × 3,532.34
  4. Step 4: Simplify right side
    7,231.88x = 38,312,385.38
  5. Step 5: Solve for x
    x = 38,312,385.38/7,231.88
  6. Step 6: Final answer
    x = 5,297.71

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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.