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Finding the Fourth Proportional to 11,714.89, 16,166.41 and 6,409.65

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Solution

The fourth proportional to 11,714.89, 16,166.41 and 6,409.65 is: 8,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.89 : 16,166.41 = 6,409.65 : x
  2. Step 2: Convert to fraction form
    11,714.89/16,166.41 = 6,409.65/x
  3. Step 3: Cross multiply
    11,714.89x = 16,166.41 × 6,409.65
  4. Step 4: Simplify right side
    11,714.89x = 103,621,029.86
  5. Step 5: Solve for x
    x = 103,621,029.86/11,714.89
  6. Step 6: Final answer
    x = 8,845.24

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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.