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Finding the Fourth Proportional to 11,747.14, 16,211.80 and 7,761.26

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Solution

The fourth proportional to 11,747.14, 16,211.80 and 7,761.26 is: 10,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.14 : 16,211.80 = 7,761.26 : x
  2. Step 2: Convert to fraction form
    11,747.14/16,211.80 = 7,761.26/x
  3. Step 3: Cross multiply
    11,747.14x = 16,211.80 × 7,761.26
  4. Step 4: Simplify right side
    11,747.14x = 125,823,994.87
  5. Step 5: Solve for x
    x = 125,823,994.87/11,747.14
  6. Step 6: Final answer
    x = 10,711.03

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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.