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Finding the Fourth Proportional to 8,519.72, 11,757.11 and 4,742.82

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Solution

The fourth proportional to 8,519.72, 11,757.11 and 4,742.82 is: 6,545.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.72 : 11,757.11 = 4,742.82 : x
  2. Step 2: Convert to fraction form
    8,519.72/11,757.11 = 4,742.82/x
  3. Step 3: Cross multiply
    8,519.72x = 11,757.11 × 4,742.82
  4. Step 4: Simplify right side
    8,519.72x = 55,761,832.74
  5. Step 5: Solve for x
    x = 55,761,832.74/8,519.72
  6. Step 6: Final answer
    x = 6,545.03

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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.