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Finding the Fourth Proportional to 11,072.82, 15,280.49 and 6,104.82

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Solution

The fourth proportional to 11,072.82, 15,280.49 and 6,104.82 is: 8,424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072.82 : 15,280.49 = 6,104.82 : x
  2. Step 2: Convert to fraction form
    11,072.82/15,280.49 = 6,104.82/x
  3. Step 3: Cross multiply
    11,072.82x = 15,280.49 × 6,104.82
  4. Step 4: Simplify right side
    11,072.82x = 93,284,640.96
  5. Step 5: Solve for x
    x = 93,284,640.96/11,072.82
  6. Step 6: Final answer
    x = 8,424.65

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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.