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Finding the Fourth Proportional to 11,542.84, 17,316.42 and 5,696.44

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Solution

The fourth proportional to 11,542.84, 17,316.42 and 5,696.44 is: 8,545.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.84 : 17,316.42 = 5,696.44 : x
  2. Step 2: Convert to fraction form
    11,542.84/17,316.42 = 5,696.44/x
  3. Step 3: Cross multiply
    11,542.84x = 17,316.42 × 5,696.44
  4. Step 4: Simplify right side
    11,542.84x = 98,641,947.54
  5. Step 5: Solve for x
    x = 98,641,947.54/11,542.84
  6. Step 6: Final answer
    x = 8,545.73

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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.