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Finding the Fourth Proportional to 11,714.88, 17,571.78 and 4,318.80

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Solution

The fourth proportional to 11,714.88, 17,571.78 and 4,318.80 is: 6,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.88 : 17,571.78 = 4,318.80 : x
  2. Step 2: Convert to fraction form
    11,714.88/17,571.78 = 4,318.80/x
  3. Step 3: Cross multiply
    11,714.88x = 17,571.78 × 4,318.80
  4. Step 4: Simplify right side
    11,714.88x = 75,889,003.46
  5. Step 5: Solve for x
    x = 75,889,003.46/11,714.88
  6. Step 6: Final answer
    x = 6,478.00

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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.