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Finding the Fourth Proportional to 7,452.63, 10,286.87 and 4,466.97

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Solution

The fourth proportional to 7,452.63, 10,286.87 and 4,466.97 is: 6,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.63 : 10,286.87 = 4,466.97 : x
  2. Step 2: Convert to fraction form
    7,452.63/10,286.87 = 4,466.97/x
  3. Step 3: Cross multiply
    7,452.63x = 10,286.87 × 4,466.97
  4. Step 4: Simplify right side
    7,452.63x = 45,951,117.35
  5. Step 5: Solve for x
    x = 45,951,117.35/7,452.63
  6. Step 6: Final answer
    x = 6,165.76

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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.