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Finding the Fourth Proportional to 7,205.82, 10,808.73 and 3,254.90

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Solution

The fourth proportional to 7,205.82, 10,808.73 and 3,254.90 is: 4,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.82 : 10,808.73 = 3,254.90 : x
  2. Step 2: Convert to fraction form
    7,205.82/10,808.73 = 3,254.90/x
  3. Step 3: Cross multiply
    7,205.82x = 10,808.73 × 3,254.90
  4. Step 4: Simplify right side
    7,205.82x = 35,181,385.13
  5. Step 5: Solve for x
    x = 35,181,385.13/7,205.82
  6. Step 6: Final answer
    x = 4,882.35

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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.