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Finding the Fourth Proportional to 8,083.12, 12,122.46 and 5,736.16

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Solution

The fourth proportional to 8,083.12, 12,122.46 and 5,736.16 is: 8,602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.12 : 12,122.46 = 5,736.16 : x
  2. Step 2: Convert to fraction form
    8,083.12/12,122.46 = 5,736.16/x
  3. Step 3: Cross multiply
    8,083.12x = 12,122.46 × 5,736.16
  4. Step 4: Simplify right side
    8,083.12x = 69,536,370.15
  5. Step 5: Solve for x
    x = 69,536,370.15/8,083.12
  6. Step 6: Final answer
    x = 8,602.66

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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.