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Finding the Fourth Proportional to 7,471.94, 11,205.30 and 2,205.56

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Solution

The fourth proportional to 7,471.94, 11,205.30 and 2,205.56 is: 3,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.94 : 11,205.30 = 2,205.56 : x
  2. Step 2: Convert to fraction form
    7,471.94/11,205.30 = 2,205.56/x
  3. Step 3: Cross multiply
    7,471.94x = 11,205.30 × 2,205.56
  4. Step 4: Simplify right side
    7,471.94x = 24,713,961.47
  5. Step 5: Solve for x
    x = 24,713,961.47/7,471.94
  6. Step 6: Final answer
    x = 3,307.57

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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.