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Finding the Fourth Proportional to 11,613.45, 17,414.85 and 3,714.43

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Solution

The fourth proportional to 11,613.45, 17,414.85 and 3,714.43 is: 5,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.45 : 17,414.85 = 3,714.43 : x
  2. Step 2: Convert to fraction form
    11,613.45/17,414.85 = 3,714.43/x
  3. Step 3: Cross multiply
    11,613.45x = 17,414.85 × 3,714.43
  4. Step 4: Simplify right side
    11,613.45x = 64,686,241.29
  5. Step 5: Solve for x
    x = 64,686,241.29/11,613.45
  6. Step 6: Final answer
    x = 5,569.94

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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.