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Finding the Fourth Proportional to 11,611.89, 17,420.54 and 3,820.77

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Solution

The fourth proportional to 11,611.89, 17,420.54 and 3,820.77 is: 5,732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.89 : 17,420.54 = 3,820.77 : x
  2. Step 2: Convert to fraction form
    11,611.89/17,420.54 = 3,820.77/x
  3. Step 3: Cross multiply
    11,611.89x = 17,420.54 × 3,820.77
  4. Step 4: Simplify right side
    11,611.89x = 66,559,857.51
  5. Step 5: Solve for x
    x = 66,559,857.51/11,611.89
  6. Step 6: Final answer
    x = 5,732.04

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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.