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Finding the Fourth Proportional to 11,871.51, 17,817.39 and 6,611.78

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Solution

The fourth proportional to 11,871.51, 17,817.39 and 6,611.78 is: 9,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.51 : 17,817.39 = 6,611.78 : x
  2. Step 2: Convert to fraction form
    11,871.51/17,817.39 = 6,611.78/x
  3. Step 3: Cross multiply
    11,871.51x = 17,817.39 × 6,611.78
  4. Step 4: Simplify right side
    11,871.51x = 117,804,573.77
  5. Step 5: Solve for x
    x = 117,804,573.77/11,871.51
  6. Step 6: Final answer
    x = 9,923.30

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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.