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Finding the Fourth Proportional to 11,613.83, 17,415.42 and 3,714.81

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Solution

The fourth proportional to 11,613.83, 17,415.42 and 3,714.81 is: 5,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.83 : 17,415.42 = 3,714.81 : x
  2. Step 2: Convert to fraction form
    11,613.83/17,415.42 = 3,714.81/x
  3. Step 3: Cross multiply
    11,613.83x = 17,415.42 × 3,714.81
  4. Step 4: Simplify right side
    11,613.83x = 64,694,976.37
  5. Step 5: Solve for x
    x = 64,694,976.37/11,613.83
  6. Step 6: Final answer
    x = 5,570.51

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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.