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Finding the Fourth Proportional to 7,471.71, 11,207.60 and 3,310.61

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Solution

The fourth proportional to 7,471.71, 11,207.60 and 3,310.61 is: 4,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.71 : 11,207.60 = 3,310.61 : x
  2. Step 2: Convert to fraction form
    7,471.71/11,207.60 = 3,310.61/x
  3. Step 3: Cross multiply
    7,471.71x = 11,207.60 × 3,310.61
  4. Step 4: Simplify right side
    7,471.71x = 37,103,920.04
  5. Step 5: Solve for x
    x = 37,103,920.04/7,471.71
  6. Step 6: Final answer
    x = 4,965.92

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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.