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Finding the Fourth Proportional to 11,777.96, 16,254.72 and 6,742.59

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Solution

The fourth proportional to 11,777.96, 16,254.72 and 6,742.59 is: 9,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.96 : 16,254.72 = 6,742.59 : x
  2. Step 2: Convert to fraction form
    11,777.96/16,254.72 = 6,742.59/x
  3. Step 3: Cross multiply
    11,777.96x = 16,254.72 × 6,742.59
  4. Step 4: Simplify right side
    11,777.96x = 109,598,912.52
  5. Step 5: Solve for x
    x = 109,598,912.52/11,777.96
  6. Step 6: Final answer
    x = 9,305.43

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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.