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Finding the Fourth Proportional to 11,411.85, 17,106.12 and 7,714.44

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Solution

The fourth proportional to 11,411.85, 17,106.12 and 7,714.44 is: 11,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.85 : 17,106.12 = 7,714.44 : x
  2. Step 2: Convert to fraction form
    11,411.85/17,106.12 = 7,714.44/x
  3. Step 3: Cross multiply
    11,411.85x = 17,106.12 × 7,714.44
  4. Step 4: Simplify right side
    11,411.85x = 131,964,136.37
  5. Step 5: Solve for x
    x = 131,964,136.37/11,411.85
  6. Step 6: Final answer
    x = 11,563.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.