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Finding the Fourth Proportional to 7,231.34, 10,847.70 and 1,966.41

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Solution

The fourth proportional to 7,231.34, 10,847.70 and 1,966.41 is: 2,949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.34 : 10,847.70 = 1,966.41 : x
  2. Step 2: Convert to fraction form
    7,231.34/10,847.70 = 1,966.41/x
  3. Step 3: Cross multiply
    7,231.34x = 10,847.70 × 1,966.41
  4. Step 4: Simplify right side
    7,231.34x = 21,331,025.76
  5. Step 5: Solve for x
    x = 21,331,025.76/7,231.34
  6. Step 6: Final answer
    x = 2,949.80

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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.