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Finding the Fourth Proportional to 11,951.70, 16,476.26 and 7,971.36

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Solution

The fourth proportional to 11,951.70, 16,476.26 and 7,971.36 is: 10,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.70 : 16,476.26 = 7,971.36 : x
  2. Step 2: Convert to fraction form
    11,951.70/16,476.26 = 7,971.36/x
  3. Step 3: Cross multiply
    11,951.70x = 16,476.26 × 7,971.36
  4. Step 4: Simplify right side
    11,951.70x = 131,338,160.06
  5. Step 5: Solve for x
    x = 131,338,160.06/11,951.70
  6. Step 6: Final answer
    x = 10,989.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.