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Finding the Fourth Proportional to 11,877.22, 17,817.99 and 4,084.30

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Solution

The fourth proportional to 11,877.22, 17,817.99 and 4,084.30 is: 6,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.22 : 17,817.99 = 4,084.30 : x
  2. Step 2: Convert to fraction form
    11,877.22/17,817.99 = 4,084.30/x
  3. Step 3: Cross multiply
    11,877.22x = 17,817.99 × 4,084.30
  4. Step 4: Simplify right side
    11,877.22x = 72,774,016.56
  5. Step 5: Solve for x
    x = 72,774,016.56/11,877.22
  6. Step 6: Final answer
    x = 6,127.19

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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.