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Finding the Fourth Proportional to 11,250.28, 16,871.82 and 7,777

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Solution

The fourth proportional to 11,250.28, 16,871.82 and 7,777 is: 11,663.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,250.28 : 16,871.82 = 7,777 : x
  2. Step 2: Convert to fraction form
    11,250.28/16,871.82 = 7,777/x
  3. Step 3: Cross multiply
    11,250.28x = 16,871.82 × 7,777
  4. Step 4: Simplify right side
    11,250.28x = 131,212,144.14
  5. Step 5: Solve for x
    x = 131,212,144.14/11,250.28
  6. Step 6: Final answer
    x = 11,663.01

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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.