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Finding the Fourth Proportional to 7,471.40, 11,198.84 and 3,086.44

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Solution

The fourth proportional to 7,471.40, 11,198.84 and 3,086.44 is: 4,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.40 : 11,198.84 = 3,086.44 : x
  2. Step 2: Convert to fraction form
    7,471.40/11,198.84 = 3,086.44/x
  3. Step 3: Cross multiply
    7,471.40x = 11,198.84 × 3,086.44
  4. Step 4: Simplify right side
    7,471.40x = 34,564,547.73
  5. Step 5: Solve for x
    x = 34,564,547.73/7,471.40
  6. Step 6: Final answer
    x = 4,626.25

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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.