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Finding the Fourth Proportional to 7,471.82, 11,205.10 and 2,205.43

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Solution

The fourth proportional to 7,471.82, 11,205.10 and 2,205.43 is: 3,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.82 : 11,205.10 = 2,205.43 : x
  2. Step 2: Convert to fraction form
    7,471.82/11,205.10 = 2,205.43/x
  3. Step 3: Cross multiply
    7,471.82x = 11,205.10 × 2,205.43
  4. Step 4: Simplify right side
    7,471.82x = 24,712,063.69
  5. Step 5: Solve for x
    x = 24,712,063.69/7,471.82
  6. Step 6: Final answer
    x = 3,307.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.