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Finding the Fourth Proportional to 8,313.84, 11,457.27 and 5,951.88

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Solution

The fourth proportional to 8,313.84, 11,457.27 and 5,951.88 is: 8,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.84 : 11,457.27 = 5,951.88 : x
  2. Step 2: Convert to fraction form
    8,313.84/11,457.27 = 5,951.88/x
  3. Step 3: Cross multiply
    8,313.84x = 11,457.27 × 5,951.88
  4. Step 4: Simplify right side
    8,313.84x = 68,192,296.17
  5. Step 5: Solve for x
    x = 68,192,296.17/8,313.84
  6. Step 6: Final answer
    x = 8,202.26

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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.