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Finding the Fourth Proportional to 8,285.67, 11,433 and 4,748.31

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Solution

The fourth proportional to 8,285.67, 11,433 and 4,748.31 is: 6,551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.67 : 11,433 = 4,748.31 : x
  2. Step 2: Convert to fraction form
    8,285.67/11,433 = 4,748.31/x
  3. Step 3: Cross multiply
    8,285.67x = 11,433 × 4,748.31
  4. Step 4: Simplify right side
    8,285.67x = 54,287,428.23
  5. Step 5: Solve for x
    x = 54,287,428.23/8,285.67
  6. Step 6: Final answer
    x = 6,551.97

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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.