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Finding the Fourth Proportional to 7,777.36, 11,666.05 and 1,933.97

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Solution

The fourth proportional to 7,777.36, 11,666.05 and 1,933.97 is: 2,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.36 : 11,666.05 = 1,933.97 : x
  2. Step 2: Convert to fraction form
    7,777.36/11,666.05 = 1,933.97/x
  3. Step 3: Cross multiply
    7,777.36x = 11,666.05 × 1,933.97
  4. Step 4: Simplify right side
    7,777.36x = 22,561,790.72
  5. Step 5: Solve for x
    x = 22,561,790.72/7,777.36
  6. Step 6: Final answer
    x = 2,900.96

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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.