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Finding the Fourth Proportional to 11,714.34, 17,571.90 and 3,816.84

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Solution

The fourth proportional to 11,714.34, 17,571.90 and 3,816.84 is: 5,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.34 : 17,571.90 = 3,816.84 : x
  2. Step 2: Convert to fraction form
    11,714.34/17,571.90 = 3,816.84/x
  3. Step 3: Cross multiply
    11,714.34x = 17,571.90 × 3,816.84
  4. Step 4: Simplify right side
    11,714.34x = 67,069,130.80
  5. Step 5: Solve for x
    x = 67,069,130.80/11,714.34
  6. Step 6: Final answer
    x = 5,725.39

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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.