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Finding the Fourth Proportional to 11,380.50, 17,068.93 and 8,083.60

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Solution

The fourth proportional to 11,380.50, 17,068.93 and 8,083.60 is: 12,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.50 : 17,068.93 = 8,083.60 : x
  2. Step 2: Convert to fraction form
    11,380.50/17,068.93 = 8,083.60/x
  3. Step 3: Cross multiply
    11,380.50x = 17,068.93 × 8,083.60
  4. Step 4: Simplify right side
    11,380.50x = 137,978,339.67
  5. Step 5: Solve for x
    x = 137,978,339.67/11,380.50
  6. Step 6: Final answer
    x = 12,124.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.