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Finding the Fourth Proportional to 7,443.71, 10,272.45 and 4,086.84

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Solution

The fourth proportional to 7,443.71, 10,272.45 and 4,086.84 is: 5,639.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.71 : 10,272.45 = 4,086.84 : x
  2. Step 2: Convert to fraction form
    7,443.71/10,272.45 = 4,086.84/x
  3. Step 3: Cross multiply
    7,443.71x = 10,272.45 × 4,086.84
  4. Step 4: Simplify right side
    7,443.71x = 41,981,859.56
  5. Step 5: Solve for x
    x = 41,981,859.56/7,443.71
  6. Step 6: Final answer
    x = 5,639.91

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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.