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Finding the Fourth Proportional to 8,262.25, 11,398.92 and 5,431.18

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Solution

The fourth proportional to 8,262.25, 11,398.92 and 5,431.18 is: 7,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.25 : 11,398.92 = 5,431.18 : x
  2. Step 2: Convert to fraction form
    8,262.25/11,398.92 = 5,431.18/x
  3. Step 3: Cross multiply
    8,262.25x = 11,398.92 × 5,431.18
  4. Step 4: Simplify right side
    8,262.25x = 61,909,586.33
  5. Step 5: Solve for x
    x = 61,909,586.33/8,262.25
  6. Step 6: Final answer
    x = 7,493.07

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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.