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Finding the Fourth Proportional to 7,205.71, 10,808.89 and 2,207.72

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Solution

The fourth proportional to 7,205.71, 10,808.89 and 2,207.72 is: 3,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.71 : 10,808.89 = 2,207.72 : x
  2. Step 2: Convert to fraction form
    7,205.71/10,808.89 = 2,207.72/x
  3. Step 3: Cross multiply
    7,205.71x = 10,808.89 × 2,207.72
  4. Step 4: Simplify right side
    7,205.71x = 23,863,052.82
  5. Step 5: Solve for x
    x = 23,863,052.82/7,205.71
  6. Step 6: Final answer
    x = 3,311.69

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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.