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Finding the Fourth Proportional to 11,714.83, 16,166.44 and 6,409.63

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Solution

The fourth proportional to 11,714.83, 16,166.44 and 6,409.63 is: 8,845.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.83 : 16,166.44 = 6,409.63 : x
  2. Step 2: Convert to fraction form
    11,714.83/16,166.44 = 6,409.63/x
  3. Step 3: Cross multiply
    11,714.83x = 16,166.44 × 6,409.63
  4. Step 4: Simplify right side
    11,714.83x = 103,620,890.98
  5. Step 5: Solve for x
    x = 103,620,890.98/11,714.83
  6. Step 6: Final answer
    x = 8,845.28

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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.