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Finding the Fourth Proportional to 7,205.34, 10,809.66 and 2,274.96

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Solution

The fourth proportional to 7,205.34, 10,809.66 and 2,274.96 is: 3,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.34 : 10,809.66 = 2,274.96 : x
  2. Step 2: Convert to fraction form
    7,205.34/10,809.66 = 2,274.96/x
  3. Step 3: Cross multiply
    7,205.34x = 10,809.66 × 2,274.96
  4. Step 4: Simplify right side
    7,205.34x = 24,591,544.11
  5. Step 5: Solve for x
    x = 24,591,544.11/7,205.34
  6. Step 6: Final answer
    x = 3,412.96

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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.