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Finding the Fourth Proportional to 7,414.49, 10,238.84 and 4,766.46

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Solution

The fourth proportional to 7,414.49, 10,238.84 and 4,766.46 is: 6,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,414.49 : 10,238.84 = 4,766.46 : x
  2. Step 2: Convert to fraction form
    7,414.49/10,238.84 = 4,766.46/x
  3. Step 3: Cross multiply
    7,414.49x = 10,238.84 × 4,766.46
  4. Step 4: Simplify right side
    7,414.49x = 48,802,997.47
  5. Step 5: Solve for x
    x = 48,802,997.47/7,414.49
  6. Step 6: Final answer
    x = 6,582.12

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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.