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Finding the Fourth Proportional to 11,812.85, 17,723.37 and 5,243.65

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Solution

The fourth proportional to 11,812.85, 17,723.37 and 5,243.65 is: 7,867.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.85 : 17,723.37 = 5,243.65 : x
  2. Step 2: Convert to fraction form
    11,812.85/17,723.37 = 5,243.65/x
  3. Step 3: Cross multiply
    11,812.85x = 17,723.37 × 5,243.65
  4. Step 4: Simplify right side
    11,812.85x = 92,935,124.46
  5. Step 5: Solve for x
    x = 92,935,124.46/11,812.85
  6. Step 6: Final answer
    x = 7,867.29

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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.