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Finding the Fourth Proportional to 7,777.96, 11,660.38 and 3,101.42

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Solution

The fourth proportional to 7,777.96, 11,660.38 and 3,101.42 is: 4,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.96 : 11,660.38 = 3,101.42 : x
  2. Step 2: Convert to fraction form
    7,777.96/11,660.38 = 3,101.42/x
  3. Step 3: Cross multiply
    7,777.96x = 11,660.38 × 3,101.42
  4. Step 4: Simplify right side
    7,777.96x = 36,163,757.14
  5. Step 5: Solve for x
    x = 36,163,757.14/7,777.96
  6. Step 6: Final answer
    x = 4,649.52

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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.