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Finding the Fourth Proportional to 8,313.59, 11,456.93 and 5,951.63

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Solution

The fourth proportional to 8,313.59, 11,456.93 and 5,951.63 is: 8,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.59 : 11,456.93 = 5,951.63 : x
  2. Step 2: Convert to fraction form
    8,313.59/11,456.93 = 5,951.63/x
  3. Step 3: Cross multiply
    8,313.59x = 11,456.93 × 5,951.63
  4. Step 4: Simplify right side
    8,313.59x = 68,187,378.54
  5. Step 5: Solve for x
    x = 68,187,378.54/8,313.59
  6. Step 6: Final answer
    x = 8,201.92

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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.