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Finding the Fourth Proportional to 7,453.74, 10,286.36 and 4,096.64

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Solution

The fourth proportional to 7,453.74, 10,286.36 and 4,096.64 is: 5,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.74 : 10,286.36 = 4,096.64 : x
  2. Step 2: Convert to fraction form
    7,453.74/10,286.36 = 4,096.64/x
  3. Step 3: Cross multiply
    7,453.74x = 10,286.36 × 4,096.64
  4. Step 4: Simplify right side
    7,453.74x = 42,139,519.06
  5. Step 5: Solve for x
    x = 42,139,519.06/7,453.74
  6. Step 6: Final answer
    x = 5,653.47

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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.