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Finding the Fourth Proportional to 11,571.76, 17,357.63 and 3,251.44

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Solution

The fourth proportional to 11,571.76, 17,357.63 and 3,251.44 is: 4,877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.76 : 17,357.63 = 3,251.44 : x
  2. Step 2: Convert to fraction form
    11,571.76/17,357.63 = 3,251.44/x
  3. Step 3: Cross multiply
    11,571.76x = 17,357.63 × 3,251.44
  4. Step 4: Simplify right side
    11,571.76x = 56,437,213.83
  5. Step 5: Solve for x
    x = 56,437,213.83/11,571.76
  6. Step 6: Final answer
    x = 4,877.15

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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.