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Finding the Fourth Proportional to 8,302.31, 11,457.25 and 4,945.27

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Solution

The fourth proportional to 8,302.31, 11,457.25 and 4,945.27 is: 6,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.31 : 11,457.25 = 4,945.27 : x
  2. Step 2: Convert to fraction form
    8,302.31/11,457.25 = 4,945.27/x
  3. Step 3: Cross multiply
    8,302.31x = 11,457.25 × 4,945.27
  4. Step 4: Simplify right side
    8,302.31x = 56,659,175.18
  5. Step 5: Solve for x
    x = 56,659,175.18/8,302.31
  6. Step 6: Final answer
    x = 6,824.50

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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.