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Finding the Fourth Proportional to 7,414.98, 10,232.24 and 4,227.84

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Solution

The fourth proportional to 7,414.98, 10,232.24 and 4,227.84 is: 5,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.98 : 10,232.24 = 4,227.84 : x
  2. Step 2: Convert to fraction form
    7,414.98/10,232.24 = 4,227.84/x
  3. Step 3: Cross multiply
    7,414.98x = 10,232.24 × 4,227.84
  4. Step 4: Simplify right side
    7,414.98x = 43,260,252.42
  5. Step 5: Solve for x
    x = 43,260,252.42/7,414.98
  6. Step 6: Final answer
    x = 5,834.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.