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Finding the Fourth Proportional to 7,446.27, 11,174.02 and 4,327.75

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Solution

The fourth proportional to 7,446.27, 11,174.02 and 4,327.75 is: 6,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.27 : 11,174.02 = 4,327.75 : x
  2. Step 2: Convert to fraction form
    7,446.27/11,174.02 = 4,327.75/x
  3. Step 3: Cross multiply
    7,446.27x = 11,174.02 × 4,327.75
  4. Step 4: Simplify right side
    7,446.27x = 48,358,339.38
  5. Step 5: Solve for x
    x = 48,358,339.38/7,446.27
  6. Step 6: Final answer
    x = 6,494.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.