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Finding the Fourth Proportional to 11,872.40, 17,810.20 and 4,083.60

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Solution

The fourth proportional to 11,872.40, 17,810.20 and 4,083.60 is: 6,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.40 : 17,810.20 = 4,083.60 : x
  2. Step 2: Convert to fraction form
    11,872.40/17,810.20 = 4,083.60/x
  3. Step 3: Cross multiply
    11,872.40x = 17,810.20 × 4,083.60
  4. Step 4: Simplify right side
    11,872.40x = 72,729,732.72
  5. Step 5: Solve for x
    x = 72,729,732.72/11,872.40
  6. Step 6: Final answer
    x = 6,125.95

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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.