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Finding the Fourth Proportional to 10,471.33, 15,668.11 and 5,857.57

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Solution

The fourth proportional to 10,471.33, 15,668.11 and 5,857.57 is: 8,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.33 : 15,668.11 = 5,857.57 : x
  2. Step 2: Convert to fraction form
    10,471.33/15,668.11 = 5,857.57/x
  3. Step 3: Cross multiply
    10,471.33x = 15,668.11 × 5,857.57
  4. Step 4: Simplify right side
    10,471.33x = 91,777,021.80
  5. Step 5: Solve for x
    x = 91,777,021.80/10,471.33
  6. Step 6: Final answer
    x = 8,764.60

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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.