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Finding the Fourth Proportional to 11,714.20, 16,166.04 and 6,409.10

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Solution

The fourth proportional to 11,714.20, 16,166.04 and 6,409.10 is: 8,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.20 : 16,166.04 = 6,409.10 : x
  2. Step 2: Convert to fraction form
    11,714.20/16,166.04 = 6,409.10/x
  3. Step 3: Cross multiply
    11,714.20x = 16,166.04 × 6,409.10
  4. Step 4: Simplify right side
    11,714.20x = 103,609,766.96
  5. Step 5: Solve for x
    x = 103,609,766.96/11,714.20
  6. Step 6: Final answer
    x = 8,844.80

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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.