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Finding the Fourth Proportional to 7,205.47, 10,808.22 and 2,822.35

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Solution

The fourth proportional to 7,205.47, 10,808.22 and 2,822.35 is: 4,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.47 : 10,808.22 = 2,822.35 : x
  2. Step 2: Convert to fraction form
    7,205.47/10,808.22 = 2,822.35/x
  3. Step 3: Cross multiply
    7,205.47x = 10,808.22 × 2,822.35
  4. Step 4: Simplify right side
    7,205.47x = 30,504,579.72
  5. Step 5: Solve for x
    x = 30,504,579.72/7,205.47
  6. Step 6: Final answer
    x = 4,233.53

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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.