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Finding the Fourth Proportional to 7,446.27, 11,174.81 and 6,002.85

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Solution

The fourth proportional to 7,446.27, 11,174.81 and 6,002.85 is: 9,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.27 : 11,174.81 = 6,002.85 : x
  2. Step 2: Convert to fraction form
    7,446.27/11,174.81 = 6,002.85/x
  3. Step 3: Cross multiply
    7,446.27x = 11,174.81 × 6,002.85
  4. Step 4: Simplify right side
    7,446.27x = 67,080,678.19
  5. Step 5: Solve for x
    x = 67,080,678.19/7,446.27
  6. Step 6: Final answer
    x = 9,008.63

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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.