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Finding the Fourth Proportional to 11,714.43, 16,166.06 and 6,409.33

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Solution

The fourth proportional to 11,714.43, 16,166.06 and 6,409.33 is: 8,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.43 : 16,166.06 = 6,409.33 : x
  2. Step 2: Convert to fraction form
    11,714.43/16,166.06 = 6,409.33/x
  3. Step 3: Cross multiply
    11,714.43x = 16,166.06 × 6,409.33
  4. Step 4: Simplify right side
    11,714.43x = 103,613,613.34
  5. Step 5: Solve for x
    x = 103,613,613.34/11,714.43
  6. Step 6: Final answer
    x = 8,844.96

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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.