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Finding the Fourth Proportional to 12,382.75, 17,087.74 and 7,077.25

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Solution

The fourth proportional to 12,382.75, 17,087.74 and 7,077.25 is: 9,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.75 : 17,087.74 = 7,077.25 : x
  2. Step 2: Convert to fraction form
    12,382.75/17,087.74 = 7,077.25/x
  3. Step 3: Cross multiply
    12,382.75x = 17,087.74 × 7,077.25
  4. Step 4: Simplify right side
    12,382.75x = 120,934,207.92
  5. Step 5: Solve for x
    x = 120,934,207.92/12,382.75
  6. Step 6: Final answer
    x = 9,766.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.