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Finding the Fourth Proportional to 11,714.40, 16,165.92 and 6,409.23

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Solution

The fourth proportional to 11,714.40, 16,165.92 and 6,409.23 is: 8,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.40 : 16,165.92 = 6,409.23 : x
  2. Step 2: Convert to fraction form
    11,714.40/16,165.92 = 6,409.23/x
  3. Step 3: Cross multiply
    11,714.40x = 16,165.92 × 6,409.23
  4. Step 4: Simplify right side
    11,714.40x = 103,611,099.44
  5. Step 5: Solve for x
    x = 103,611,099.44/11,714.40
  6. Step 6: Final answer
    x = 8,844.76

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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.