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Finding the Fourth Proportional to 11,611.76, 17,420.67 and 5,039.21

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Solution

The fourth proportional to 11,611.76, 17,420.67 and 5,039.21 is: 7,560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.76 : 17,420.67 = 5,039.21 : x
  2. Step 2: Convert to fraction form
    11,611.76/17,420.67 = 5,039.21/x
  3. Step 3: Cross multiply
    11,611.76x = 17,420.67 × 5,039.21
  4. Step 4: Simplify right side
    11,611.76x = 87,786,458.02
  5. Step 5: Solve for x
    x = 87,786,458.02/11,611.76
  6. Step 6: Final answer
    x = 7,560.14

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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.