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Finding the Fourth Proportional to 11,714.66, 16,165.77 and 6,409.34

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Solution

The fourth proportional to 11,714.66, 16,165.77 and 6,409.34 is: 8,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.66 : 16,165.77 = 6,409.34 : x
  2. Step 2: Convert to fraction form
    11,714.66/16,165.77 = 6,409.34/x
  3. Step 3: Cross multiply
    11,714.66x = 16,165.77 × 6,409.34
  4. Step 4: Simplify right side
    11,714.66x = 103,611,916.29
  5. Step 5: Solve for x
    x = 103,611,916.29/11,714.66
  6. Step 6: Final answer
    x = 8,844.64

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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.