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Finding the Fourth Proportional to 11,186.42, 16,782.96 and 4,613

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Solution

The fourth proportional to 11,186.42, 16,782.96 and 4,613 is: 6,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.42 : 16,782.96 = 4,613 : x
  2. Step 2: Convert to fraction form
    11,186.42/16,782.96 = 4,613/x
  3. Step 3: Cross multiply
    11,186.42x = 16,782.96 × 4,613
  4. Step 4: Simplify right side
    11,186.42x = 77,419,794.48
  5. Step 5: Solve for x
    x = 77,419,794.48/11,186.42
  6. Step 6: Final answer
    x = 6,920.87

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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.