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Finding the Fourth Proportional to 8,059.40, 12,083.86 and 3,382.42

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Solution

The fourth proportional to 8,059.40, 12,083.86 and 3,382.42 is: 5,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059.40 : 12,083.86 = 3,382.42 : x
  2. Step 2: Convert to fraction form
    8,059.40/12,083.86 = 3,382.42/x
  3. Step 3: Cross multiply
    8,059.40x = 12,083.86 × 3,382.42
  4. Step 4: Simplify right side
    8,059.40x = 40,872,689.74
  5. Step 5: Solve for x
    x = 40,872,689.74/8,059.40
  6. Step 6: Final answer
    x = 5,071.43

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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.