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Finding the Fourth Proportional to 11,714.66, 16,166.49 and 6,409.48

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Solution

The fourth proportional to 11,714.66, 16,166.49 and 6,409.48 is: 8,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.66 : 16,166.49 = 6,409.48 : x
  2. Step 2: Convert to fraction form
    11,714.66/16,166.49 = 6,409.48/x
  3. Step 3: Cross multiply
    11,714.66x = 16,166.49 × 6,409.48
  4. Step 4: Simplify right side
    11,714.66x = 103,618,713.49
  5. Step 5: Solve for x
    x = 103,618,713.49/11,714.66
  6. Step 6: Final answer
    x = 8,845.22

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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.