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Finding the Fourth Proportional to 8,313.09, 11,471.23 and 5,800.59

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Solution

The fourth proportional to 8,313.09, 11,471.23 and 5,800.59 is: 8,004.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.09 : 11,471.23 = 5,800.59 : x
  2. Step 2: Convert to fraction form
    8,313.09/11,471.23 = 5,800.59/x
  3. Step 3: Cross multiply
    8,313.09x = 11,471.23 × 5,800.59
  4. Step 4: Simplify right side
    8,313.09x = 66,539,902.03
  5. Step 5: Solve for x
    x = 66,539,902.03/8,313.09
  6. Step 6: Final answer
    x = 8,004.23

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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.