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Finding the Fourth Proportional to 7,471.10, 11,206.65 and 3,083.73

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Solution

The fourth proportional to 7,471.10, 11,206.65 and 3,083.73 is: 4,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.10 : 11,206.65 = 3,083.73 : x
  2. Step 2: Convert to fraction form
    7,471.10/11,206.65 = 3,083.73/x
  3. Step 3: Cross multiply
    7,471.10x = 11,206.65 × 3,083.73
  4. Step 4: Simplify right side
    7,471.10x = 34,558,282.80
  5. Step 5: Solve for x
    x = 34,558,282.80/7,471.10
  6. Step 6: Final answer
    x = 4,625.60

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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.