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Finding the Fourth Proportional to 11,714.92, 16,166.08 and 6,409.80

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Solution

The fourth proportional to 11,714.92, 16,166.08 and 6,409.80 is: 8,845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.92 : 16,166.08 = 6,409.80 : x
  2. Step 2: Convert to fraction form
    11,714.92/16,166.08 = 6,409.80/x
  3. Step 3: Cross multiply
    11,714.92x = 16,166.08 × 6,409.80
  4. Step 4: Simplify right side
    11,714.92x = 103,621,339.58
  5. Step 5: Solve for x
    x = 103,621,339.58/11,714.92
  6. Step 6: Final answer
    x = 8,845.25

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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.