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Finding the Fourth Proportional to 7,414.84, 10,236.20 and 5,732.44

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Solution

The fourth proportional to 7,414.84, 10,236.20 and 5,732.44 is: 7,913.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.84 : 10,236.20 = 5,732.44 : x
  2. Step 2: Convert to fraction form
    7,414.84/10,236.20 = 5,732.44/x
  3. Step 3: Cross multiply
    7,414.84x = 10,236.20 × 5,732.44
  4. Step 4: Simplify right side
    7,414.84x = 58,678,402.33
  5. Step 5: Solve for x
    x = 58,678,402.33/7,414.84
  6. Step 6: Final answer
    x = 7,913.64

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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.