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Finding the Fourth Proportional to 7,444, 11,165.10 and 2,446.12

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Solution

The fourth proportional to 7,444, 11,165.10 and 2,446.12 is: 3,668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444 : 11,165.10 = 2,446.12 : x
  2. Step 2: Convert to fraction form
    7,444/11,165.10 = 2,446.12/x
  3. Step 3: Cross multiply
    7,444x = 11,165.10 × 2,446.12
  4. Step 4: Simplify right side
    7,444x = 27,311,174.41
  5. Step 5: Solve for x
    x = 27,311,174.41/7,444
  6. Step 6: Final answer
    x = 3,668.88

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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.