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Finding the Fourth Proportional to 7,453.76, 10,286.45 and 4,096.82

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Solution

The fourth proportional to 7,453.76, 10,286.45 and 4,096.82 is: 5,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.76 : 10,286.45 = 4,096.82 : x
  2. Step 2: Convert to fraction form
    7,453.76/10,286.45 = 4,096.82/x
  3. Step 3: Cross multiply
    7,453.76x = 10,286.45 × 4,096.82
  4. Step 4: Simplify right side
    7,453.76x = 42,141,734.09
  5. Step 5: Solve for x
    x = 42,141,734.09/7,453.76
  6. Step 6: Final answer
    x = 5,653.76

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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.