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Finding the Fourth Proportional to 12,382.02, 17,087.22 and 7,076.97

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Solution

The fourth proportional to 12,382.02, 17,087.22 and 7,076.97 is: 9,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.02 : 17,087.22 = 7,076.97 : x
  2. Step 2: Convert to fraction form
    12,382.02/17,087.22 = 7,076.97/x
  3. Step 3: Cross multiply
    12,382.02x = 17,087.22 × 7,076.97
  4. Step 4: Simplify right side
    12,382.02x = 120,925,743.32
  5. Step 5: Solve for x
    x = 120,925,743.32/12,382.02
  6. Step 6: Final answer
    x = 9,766.24

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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.