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Finding the Fourth Proportional to 7,471.34, 11,208.49 and 2,206.45

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Solution

The fourth proportional to 7,471.34, 11,208.49 and 2,206.45 is: 3,310.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.34 : 11,208.49 = 2,206.45 : x
  2. Step 2: Convert to fraction form
    7,471.34/11,208.49 = 2,206.45/x
  3. Step 3: Cross multiply
    7,471.34x = 11,208.49 × 2,206.45
  4. Step 4: Simplify right side
    7,471.34x = 24,730,930.62
  5. Step 5: Solve for x
    x = 24,730,930.62/7,471.34
  6. Step 6: Final answer
    x = 3,310.10

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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.