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Finding the Fourth Proportional to 11,971.72, 17,960.54 and 5,218.46

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Solution

The fourth proportional to 11,971.72, 17,960.54 and 5,218.46 is: 7,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.72 : 17,960.54 = 5,218.46 : x
  2. Step 2: Convert to fraction form
    11,971.72/17,960.54 = 5,218.46/x
  3. Step 3: Cross multiply
    11,971.72x = 17,960.54 × 5,218.46
  4. Step 4: Simplify right side
    11,971.72x = 93,726,359.57
  5. Step 5: Solve for x
    x = 93,726,359.57/11,971.72
  6. Step 6: Final answer
    x = 7,828.98

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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.