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Finding the Fourth Proportional to 10,732.97, 16,104.08 and 5,806.07

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Solution

The fourth proportional to 10,732.97, 16,104.08 and 5,806.07 is: 8,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.97 : 16,104.08 = 5,806.07 : x
  2. Step 2: Convert to fraction form
    10,732.97/16,104.08 = 5,806.07/x
  3. Step 3: Cross multiply
    10,732.97x = 16,104.08 × 5,806.07
  4. Step 4: Simplify right side
    10,732.97x = 93,501,470.54
  5. Step 5: Solve for x
    x = 93,501,470.54/10,732.97
  6. Step 6: Final answer
    x = 8,711.62

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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.