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Finding the Fourth Proportional to 10,471.59, 15,668.46 and 5,857.83

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Solution

The fourth proportional to 10,471.59, 15,668.46 and 5,857.83 is: 8,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.59 : 15,668.46 = 5,857.83 : x
  2. Step 2: Convert to fraction form
    10,471.59/15,668.46 = 5,857.83/x
  3. Step 3: Cross multiply
    10,471.59x = 15,668.46 × 5,857.83
  4. Step 4: Simplify right side
    10,471.59x = 91,783,175.04
  5. Step 5: Solve for x
    x = 91,783,175.04/10,471.59
  6. Step 6: Final answer
    x = 8,764.97

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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.